The article is quite old, so do forgive me if this has already made the rounds, but it goes into quite some detail about the energy requirements as well as the surface area needed to life something with the mass of an average aircraft carrier.
For anyone whole loves Big numbers, and overt the top calculations of totally fiction items, might get a kick out of this
LINK HERE
I will post some nice excerpts from the article that did make me laugh.
Just to make things easier, I will look at low level hovering. This means I can just use 1.2 kg/m3 for the density of air. Of course, at higher altitudes the density would be lower. Using the mass and rotor area from above, I get a thrust air speed of 642 m/s (1400 mph). Just to be clear, this is faster than the speed of sound. It is probably clear that I don’t know much about real helicopters or jet engines, but I would suspect that a thrust this high would add other calculation complications. I will (as usual) proceed anyway.
With the air speed, I can now calculate the power needed to hover. Again, I am not going to go over the (possibly bogus) derivation of this power for hovering, it was in my huma-copter post.
With my values from above, I get a power of 3.17 x 1011 Watts – quite a bit more than 1.21 giga watts. In horsepower, this would be 4.26 x 108 horsepower. That’s a lot of horses. Just for comparison, the Nimitz class carriers have a listed propulsion of 1.94 x 108 Watts. I assume this is the maximum power, so it wouldn’t be enough to lift the helicarrier. Obviously, the S.H.I.E.L.D. helicarrier has a better power source. I would guess it would have to be at least around 2 x 109 Watts in order to operate. You don’t want to use your maximum power just to sit still.
Really, I am surprised with my rough calculations that it is even partially close to the power output of a real carrier.