X2 Roy Ken. It is VITAL that your inverter be PSW PURE SINE WAVE. A MSW modified sine wave inverter will fail the control module of your heating pad almost instantly.
Your heating pad would (most probably) not stay on 100% of the time. However with losses in the system pretty much count on a 9-10 amp draw. Twelve hours of operation will FULLY DEPLETE (to 50% remaining capacity) a pair of group 24 cyclable batteries if the pad duty cycle is 100% I've never seen an inverter gobble less than 2 amps vigorish.
Sigh. A propane powered heating pad. Sigh.