12057069024 has 576 divisors, whose sum is σ = 47771942400. Its totient is φ = 2888939520.

The previous prime is 12057069019. The next prime is 12057069043. The reversal of 12057069024 is 42096075021.

12057069024 is a `hidden beast` number, since 1 + 2 + 0 + 570 + 69 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12057069024.

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, 7783002 + ... + 7784550.

It is an arithmetic number, because the mean of its divisors is an integer number (82937400).

Almost surely, 2^12057069024 is an apocalyptic number.

12057069024 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 12057069024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23885971200).

12057069024 is an abundant number, since it is smaller than the sum of its proper divisors (35714873376).

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

12057069024 is a wasteful number, since it uses less digits than its factorization.

12057069024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12057069024 in words is "twelve billion, fifty-seven million, sixty-nine thousand, twenty-four".