12257272643200 has 192 divisors, whose sum is σ = 34324707765600. Its totient is φ = 4287563919360.

The previous prime is 12257272643179. The next prime is 12257272643233. The reversal of 12257272643200 is 234627275221.

12257272643200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12257272643200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6963442 + ... + 8544241.

Almost surely, 2^{12257272643200} is an apocalyptic number.

12257272643200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12257272643200 is an abundant number, since it is smaller than the sum of its proper divisors (22067435122400).

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

12257272643200 is a wasteful number, since it uses less digits than its factorization.

12257272643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15507739 (or 15507722 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 12257272643200 in words is "twelve trillion, two hundred fifty-seven billion, two hundred seventy-two million, six hundred forty-three thousand, two hundred".