I have the resmed unit, runs off trailer 12V with a 12V adapter. (actually a 12V to 24V dc to dc converter) On most cpaps figure for 8 hrs, something around 16AH from the batteries. so even a single 12V 80AH battery is good for at least 4 nights. double the power or more if you want or need to use the humidifier. Otherwise just turn off the humidifier.
Virtually ALL cpap's made today run off 12V (or 24V for the resmed) even when plugged into the wall. 120V is a 120V to 12v or 24V DC converter. do NOT use an inverter, all it will do is increase the power usage and you will go from 12V to 120V back down to 12V.