12133656931872 has 192 divisors, whose sum is σ = 37660247654400. Its totient is φ = 3346853852160.

The previous prime is 12133656931867. The next prime is 12133656931897. The reversal of 12133656931872 is 27813965633121.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 215723529 + ... + 215779767.

It is an arithmetic number, because the mean of its divisors is an integer number (196147123200).

Almost surely, 2^{12133656931872} is an apocalyptic number.

12133656931872 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 12133656931872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18830123827200).

12133656931872 is an abundant number, since it is smaller than the sum of its proper divisors (25526590722528).

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

12133656931872 is a wasteful number, since it uses less digits than its factorization.

12133656931872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67359 (or 67351 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 12133656931872 in words is "twelve trillion, one hundred thirty-three billion, six hundred fifty-six million, nine hundred thirty-one thousand, eight hundred seventy-two".