12057037632 has 168 divisors, whose sum is σ = 37225691360. Its totient is φ = 3718794240.

The previous prime is 12057037609. The next prime is 12057037633. The reversal of 12057037632 is 23673075021.

12057037632 is a `hidden beast` number, since 1 + 20 + 570 + 3 + 7 + 63 + 2 = 666.

12057037632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057037633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457782 + ... + 483402.

Almost surely, 2^12057037632 is an apocalyptic number.

12057037632 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 12057037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612845680).

12057037632 is an abundant number, since it is smaller than the sum of its proper divisors (25168653728).

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

12057037632 is a wasteful number, since it uses less digits than its factorization.

12057037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25701 (or 25688 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 12057037632 in words is "twelve billion, fifty-seven million, thirty-seven thousand, six hundred thirty-two".