FWIW,
I bought a "APC Back-UPS ES 8 Outlet 350VA / 120V" @ CompUsa for $25 specifically for use on my tank--it did not work!
It would not power even my smallest pump/powerhead!!
(Not a MJ1200, not my dinky Aquaclear PH, not even small, submersible "desktop fountain" pumps!).
The battery would immediately go into "uncharged battery mode" (and emit a loud, annoying tone) and/or trip it's internal breaker...
I didn't think it worth the $25 to just run 1 small heater for a few hours.
(The same money invested in decent polystyrene insulation boards kept my tank warmer during this week's blackout....)
I now use the UPS on my desktop computer and it works okay
(enough to finish my emails and then power down correctly....)
During the blackout, I used:
a very small invertor (and my car) to run 1 air pump, and 1 heater--
then when that died (after 48 hours) I used:
jugs of hot water
and a hand-crank egg-beater for aeration for the next 24 hours....
though I would highly recommend a few "Penn Plax Silent Air B11" battery powered Air pumps in place of the egg-beater
(All that hand-cranking keeps you warm when you've got no heat though!)