12102133223200 has 72 divisors (see below), whose sum is σ = 31282234691652. Its totient is φ = 4556097208320.

The previous prime is 12102133223179. The next prime is 12102133223221. The reversal of 12102133223200 is 232233120121.

It is an interprime number because it is at equal distance from previous prime (12102133223179) and next prime (12102133223221).

It can be written as a sum of positive squares in 6 ways, for example, as 9094253486224 + 3007879736976 = 3015668^2 + 1734324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444917769 + ... + 444944968.

Almost surely, 2^{12102133223200} is an apocalyptic number.

12102133223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102133223200 is an abundant number, since it is smaller than the sum of its proper divisors (19180101468452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102133223200 is a wasteful number, since it uses less digits than its factorization.

12102133223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889862774 (or 889862761 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12102133223200 its reverse (232233120121), we get a palindrome (12334366343321).

The spelling of 12102133223200 in words is "twelve trillion, one hundred two billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred".