12695973120 has 432 divisors, whose sum is σ = 46059267072. Its totient is φ = 3224862720.

The previous prime is 12695973083. The next prime is 12695973161. The reversal of 12695973120 is 2137959621.

It is a happy number.

12695973120 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 597 + 31 + 20 = 666.

It is a super-2 number, since 2×12695973120² (a number of 21 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26069517 + ... + 26070003.

Almost surely, 2^12695973120 is an apocalyptic number.

12695973120 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 12695973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029633536).

12695973120 is an abundant number, since it is smaller than the sum of its proper divisors (33363293952).

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

12695973120 is a wasteful number, since it uses less digits than its factorization.

12695973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12695973120 in words is "twelve billion, six hundred ninety-five million, nine hundred seventy-three thousand, one hundred twenty".