The device that produces 12V power from 120V power is called a converter or sometimes a converter/charger since it also charges the house batteries. An inverter works the other way around--it takes 12V DC and produces 120V AC. (To add to the confusion, some inverters also function as converter/chargers, but you can ignore that detail for now.)
Anyhow, yes there should be a converter. There are several possible reasons why you wouldn't be getting 12V as you expect, including (but probably not limited to) these:
- The converter is missing or broken
- The circuit breaker on the 120V panel controlling the converter is popped
- There's a separate switch for the converter that's turned off
- The "salesman switch" that disconnects 12V is not turned on
- There's no house battery connected--some converters need a battery to function properly
- You have one or more blown 12V fuses
- There's something disconnected or otherwise broken in the wiring
If the converter is the original one, there's a good chance it's a ferroresonant design and produces more or less of an audible hum when in use. That may help in tracking it down. Often they're integral with or near the 120V and 12V distribution panels, but certainly not always (and Coachmen, at least at times, tended to prefer to use separate deck-mount converters).