12691460920320 has 1056 divisors, whose sum is σ = 56128878344448. Its totient is φ = 2677734899712.

The previous prime is 12691460920309. The next prime is 12691460920321. The reversal of 12691460920320 is 2302906419621.

12691460920320 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 1 + 4 + 609 + 2 + 0 + 32 + 0 = 666.

It is a super-2 number, since 2×12691460920320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12691460920321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113162512 + ... + 113274608.

Almost surely, 2^{12691460920320} is an apocalyptic number.

12691460920320 is a gapful number since it is divisible by the number (10) 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 12691460920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28064439172224).

12691460920320 is an abundant number, since it is smaller than the sum of its proper divisors (43437417424128).

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

12691460920320 is a wasteful number, since it uses less digits than its factorization.

12691460920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112157 (or 112127 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12691460920320 in words is "twelve trillion, six hundred ninety-one billion, four hundred sixty million, nine hundred twenty thousand, three hundred twenty".