Most of the same kind of games seems to adopt a world-level environment.
So in your case, imagine you have 240 levels, and can show 12 levels per screen, that would make 20 worlds, we can have a first screen that let's you select between 20 worlds, which would basically be "level 1 to 12, level 13 to 24, etc..", easy to navigate yet has a lot of options
As the listbox too would be a pain to scroll too in that regard
The other advantage is that most people won't want to play "level 98 again", but they may wanna play the "6th level of the asteroid field world"