12057964884 has 360 divisors, whose sum is σ = 39766446720. Its totient is φ = 3164023296.

The previous prime is 12057964837. The next prime is 12057964903. The reversal of 12057964884 is 48846975021.

It is a happy number.

12057964884 is a `hidden beast` number, since 1 + 2 + 0 + 579 + 64 + 8 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12057964884.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11604837 + ... + 11605875.

It is an arithmetic number, because the mean of its divisors is an integer number (110462352).

Almost surely, 2^12057964884 is an apocalyptic number.

12057964884 is a gapful number since it is divisible by the number (14) 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 12057964884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883223360).

12057964884 is an abundant number, since it is smaller than the sum of its proper divisors (27708481836).

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

12057964884 is a wasteful number, since it uses less digits than its factorization.

12057964884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12057964884 in words is "twelve billion, fifty-seven million, nine hundred sixty-four thousand, eight hundred eighty-four".