The Mongols never held on to lands west of the Dnieper for very long
“Most of Genghis Khan’s empire — with the exception of ... China...”
Besides that Mrs. Lincoln, how was the play? To be clear, Genghis Khan conquered all of China, perhaps not for long. And even then, that was about 1/4 of the world’s population... before Khan got ahold of it, anyway.
As for not holding lands very long... well, yeah, Timur was less than a century after Genghis. That kinda goes without saying.