12692416320 has 84 divisors (see below), whose sum is σ = 43656633540. Its totient is φ = 3384643584.

The previous prime is 12692416313. The next prime is 12692416327. The reversal of 12692416320 is 2361429621.

It is a happy number.

12692416320 is a `hidden beast` number, since 12 + 6 + 9 + 2 + 4 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12692416313) and next prime (12692416327).

It can be written as a sum of positive squares in 2 ways, for example, as 9257518656 + 3434897664 = 96216^2 + 58608^2 .

It is a super-2 number, since 2×12692416320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12692416327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2200665 + ... + 2206424.

Almost surely, 2^12692416320 is an apocalyptic number.

12692416320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12692416320 is an abundant number, since it is smaller than the sum of its proper divisors (30964217220).

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

12692416320 is a wasteful number, since it uses less digits than its factorization.

12692416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407112 (or 4407099 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12692416320 in words is "twelve billion, six hundred ninety-two million, four hundred sixteen thousand, three hundred twenty".