12657233040 has 640 divisors, whose sum is σ = 47311257600. Its totient is φ = 2773647360.

The previous prime is 12657233027. The next prime is 12657233087. The reversal of 12657233040 is 4033275621.

It is a junction number, because it is equal to n+sod(n) for n = 12657232992 and 12657233010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55271646 + ... + 55271874.

It is an arithmetic number, because the mean of its divisors is an integer number (73923840).

Almost surely, 2^12657233040 is an apocalyptic number.

12657233040 is a gapful number since it is divisible by the number (10) 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 12657233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23655628800).

12657233040 is an abundant number, since it is smaller than the sum of its proper divisors (34654024560).

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

12657233040 is a wasteful number, since it uses less digits than its factorization.

12657233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 12657233040 in words is "twelve billion, six hundred fifty-seven million, two hundred thirty-three thousand, forty".