12137936610492 has 384 divisors, whose sum is σ = 40323912007680. Its totient is φ = 3065962648320.

The previous prime is 12137936610433. The next prime is 12137936610511. The reversal of 12137936610492 is 29401663973121.

12137936610492 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 93 + 6 + 61 + 0 + 492 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61264863 + ... + 61462665.

It is an arithmetic number, because the mean of its divisors is an integer number (105010187520).

Almost surely, 2^{12137936610492} is an apocalyptic number.

12137936610492 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 12137936610492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20161956003840).

12137936610492 is an abundant number, since it is smaller than the sum of its proper divisors (28185975397188).

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

12137936610492 is a wasteful number, since it uses less digits than its factorization.

12137936610492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198038 (or 198030 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12137936610492 in words is "twelve trillion, one hundred thirty-seven billion, nine hundred thirty-six million, six hundred ten thousand, four hundred ninety-two".