It's still important for those studying mathematics to realize that things like this are completely arbitrary.
I remember the moment as a kid when I realized that the number 10 wasn't some magical number, but just some arbitrary number we've decided to use as a base. Definitely a stupid choice IMHO, but it's what we're stuck with.
And we have 12 non-thumb phalanxes on each hand. Point each phalanx of one hand with your thumb (of the same hand), and you can count up to 12. With 5 fingers on the other hand, you can count 5 dozen: 60.
Base 10 may not be completely arbitrary, but is is undoubtedly lazy.
When demonstrating that to others, be wary of counting as a demonstration. It might make be memorable, but people can get upset when you get to the number 4.
Base 10 is arbitrary in the sense that it is "based on or determined by individual preference or convenience rather than by necessity or the intrinsic nature of something."
However, if you bother thinking about the word arbitrary too hard (as your comment inspired me to do), you end up in the realm of existentialism and down the proverbial rabbit hole.
I remember the moment as a kid when I realized that the number 10 wasn't some magical number, but just some arbitrary number we've decided to use as a base. Definitely a stupid choice IMHO, but it's what we're stuck with.