12721874256 has 480 divisors, whose sum is σ = 46604183808. Its totient is φ = 3269652480.

The previous prime is 12721874227. The next prime is 12721874279. The reversal of 12721874256 is 65247812721.

12721874256 is a `hidden beast` number, since 1 + 2 + 7 + 218 + 7 + 425 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14505690 + ... + 14506566.

Almost surely, 2^12721874256 is an apocalyptic number.

12721874256 is a gapful number since it is divisible by the number (16) 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 12721874256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23302091904).

12721874256 is an abundant number, since it is smaller than the sum of its proper divisors (33882309552).

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

12721874256 is a wasteful number, since it uses less digits than its factorization.

12721874256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 943 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 12721874256 in words is "twelve billion, seven hundred twenty-one million, eight hundred seventy-four thousand, two hundred fifty-six".