12257212032 has 256 divisors, whose sum is σ = 39241440000. Its totient is φ = 3744092160.

The previous prime is 12257212001. The next prime is 12257212043. The reversal of 12257212032 is 23021275221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12257211987 and 12257212005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6693357 + ... + 6695187.

It is an arithmetic number, because the mean of its divisors is an integer number (153286875).

Almost surely, 2^12257212032 is an apocalyptic number.

12257212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12257212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19620720000).

12257212032 is an abundant number, since it is smaller than the sum of its proper divisors (26984227968).

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

12257212032 is a wasteful number, since it uses less digits than its factorization.

12257212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12257212032 its reverse (23021275221), we get a palindrome (35278487253).

The spelling of 12257212032 in words is "twelve billion, two hundred fifty-seven million, two hundred twelve thousand, thirty-two".