The guy who came up with 602,200,000,000,000,000,000,000 (named Avogadro) probably didn’t like all
those zeros any more than you do. So he did something very smart: he defined a mol as:
the number of carbon atoms in 12 grams
It turns out that 602,200,000,000,000,000,000,000 is approximately that number.
But why 12 grams? Well, if you remember something about atomic structure, you know that a carbon atom has six protons and six neutrons (which means it has 6 electrons as well, 4 of which are on its outer shell, allowing it to form 4 covalent bonds and be backbone of organic life … but that’s a different story)
Anyway, back to the 12 grams. Since a proton and a neutron each weighs 1 atomic unit, a carbon atom weighs about 12 atomic units (the electrons don’t weigh much of anything). And a mol of carbon weighs 12 grams.
That means 1 mol of protons or neutrons weighs 1 gram.