Can a helicopter carry a large airplane?
If you look more closely, this "airplane" is only the husk of a Tupolev Tu-134, a rather small airliner, and the helicopter is a Mil-26, the heaviest helicopter ever to go into production. Not only are the empennage and the outer wings missing, but also the engines, which helps to reduce the load considerably.



Mil-26 lifting a Tu-134 carcass, seen from below (source)

The empty weight of a flightworthy Tu-134 is 28 tons, but the engines alone weigh 2.3 tons each. Now remove the outer wing, empennage and cabin interior, and the remaining weight is within the 20 ton load limit of the Mil-26.