Genesis address is different from the rest of the bitcoin addresses, consensus rules prevent you from spending bitcoins from the Genesis address even if you have its private key.
Actually they do allow you. You're just unable of spending the genesis block's coinbase UTXO. The address has 18.52264025 spendable bitcoins sitting in the dust. Quite huge amount if we're talking about crackable puzzles.
I'm not falling for anything here. I am only interested to know who the owner of these 1.2 BTC is.
This is what I was asking too. It turns out that some people intentionally left some BTC to be found from individuals. It's probably a way to test the system's security. The money is the incentive for their work.
Here's another puzzle:
Bitcoin puzzle transaction ~32 BTC prize to who solves it