[This puzzle is heavily based on one from video game Zero Time Dilemma.]
I have one of those weird individualist friends--to give you an idea, he spells his name H-E-N-🔟-R-Y. ...The 🔟 is silent, y'see.
Anyway, he's easy enough to talk to but, like most people around this generation, he insists on texting. And the thing is, he uses his own number system--it's base-13 and, furthermore, is expressed entirely in emojis. It's always difficult to settle on a time to meet when he says he's available at 😏:🙃🙃.
I've managed to figure out these rules.
😳 is greater than 😔, which is greater than 😎.
😑 times 😆 equals 😋.
😑 times 🙄 times 😑 equals 😏.
😬 equals 😑 times 😑.
Anything multiplied by 🙃 is 🙃.
🙄 times 🙄 equals 😂.
😑 times 😬 is 😠.
😑 times 🙄 equals 😘.
From here, can you determine what emojis correspond to what numbers, 0-C (zero through 12, base ten)?