12131156409372 has 576 divisors, whose sum is σ = 42509891128320. Its totient is φ = 2905161292800.

The previous prime is 12131156409349. The next prime is 12131156409443. The reversal of 12131156409372 is 27390465113121.

12131156409372 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 11 + 564 + 0 + 9 + 3 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1322480578 + ... + 1322489750.

It is an arithmetic number, because the mean of its divisors is an integer number (73801894320).

Almost surely, 2^{12131156409372} is an apocalyptic number.

12131156409372 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 12131156409372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254945564160).

12131156409372 is an abundant number, since it is smaller than the sum of its proper divisors (30378734718948).

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

12131156409372 is a wasteful number, since it uses less digits than its factorization.

12131156409372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12131156409372 in words is "twelve trillion, one hundred thirty-one billion, one hundred fifty-six million, four hundred nine thousand, three hundred seventy-two".