12057647073732 has 144 divisors (see below), whose sum is σ = 33068028298032. Its totient is φ = 3682424954880.

The previous prime is 12057647073713. The next prime is 12057647073751. The reversal of 12057647073732 is 23737074675021.

12057647073732 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 76 + 470 + 73 + 7 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (12057647073713) and next prime (12057647073751).

It can be written as a sum of positive squares in 8 ways, for example, as 3883800381696 + 8173846692036 = 1970736^2 + 2858994^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797403132 + ... + 797418252.

It is an arithmetic number, because the mean of its divisors is an integer number (229639085403).

Almost surely, 2^{12057647073732} is an apocalyptic number.

12057647073732 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 12057647073732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534014149016).

12057647073732 is an abundant number, since it is smaller than the sum of its proper divisors (21010381224300).

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

12057647073732 is a wasteful number, since it uses less digits than its factorization.

12057647073732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27718 (or 27713 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 54.

The spelling of 12057647073732 in words is "twelve trillion, fifty-seven billion, six hundred forty-seven million, seventy-three thousand, seven hundred thirty-two".