Hi S., I agree with the questions Sue H presented.
Infants at 6+ months are ready to skip the midnight feeding.. I know its difficult for the first week, feed him before bed time, make sure he has a full meal (weather its gerber or table foods). If you think he did not eat enough you can add cereal in his milk/formula before bed)
Babies are sleepy right after they had a nice meal and a nice warm bath... when baby wakes up around midnight, keep a bottle of water handy and give him water only - he will take a couple of sips and refuse the bottle, even cry, but hold him close, comfort him by either a pacifier, sing a lullaby, or wrap him up if he wants to be swaddled. Make sure he is warm enough - this is also a big factor in babies waking up too often.
Babies can wake from a wet diaper, so by doing this - replacing bottle with water (babies can wake to drink just for pure comfort not because they are hungry) he will drink less and not wet his diaper too often. I did this with my son at 10.5 months - be strong and keep it up - he will get used to this and decide its not worth getting up just for water.
Feed him again at 3/4am with formula/milk, don't make a big deal out of it. Feed him and put him down (change diaper if its wet, half way through feeding so that he calms down and gets sleepy again with the bottle). He might start to cry as soon as you leave the room, but wait a few min before you check in on him. You know he is not hungry, you know he has a dry diaper - no fever. He will realize its sleepy time and go back to sleep eventually.
You can try leaving him for 2 min. The next night 5 min and then 10 min and see if he will go back to sleep. You will be surprised how ready he is for at least skipping the midnight feed.
You can use a bottle of water or a sippy cup for this. He will get less interested in the water = drink less = less wet diapers = hopefully less wakeups.
Our son sleeps in his own room in his own crib - he gets a bath at 6:30 and is fast asleep by 7, he used to wake up at 12am for a bottle but with this method, he now sleeps through till 4:30 or even 5am.
But if he is sleeping with mommy and daddy.. I'm not sure on this one.
But I hope it helps.
Good luck and God bless