12906696365136 has 240 divisors, whose sum is σ = 41396743724544. Its totient is φ = 3677297412096.

The previous prime is 12906696365119. The next prime is 12906696365153. The reversal of 12906696365136 is 63156369660921.

It is a happy number.

12906696365136 is a `hidden beast` number, since 1 + 29 + 0 + 6 + 6 + 96 + 3 + 6 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12906696365119) and next prime (12906696365153).

It is a super-2 number, since 2×12906696365136² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545426041 + ... + 545449703.

Almost surely, 2^{12906696365136} is an apocalyptic number.

12906696365136 is a gapful number since it is divisible by the number (16) 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 12906696365136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20698371862272).

12906696365136 is an abundant number, since it is smaller than the sum of its proper divisors (28490047359408).

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

12906696365136 is a wasteful number, since it uses less digits than its factorization.

12906696365136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25178 (or 25169 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 12906696365136 in words is "twelve trillion, nine hundred six billion, six hundred ninety-six million, three hundred sixty-five thousand, one hundred thirty-six".