12375418320 has 60 divisors (see below), whose sum is σ = 41560782276. Its totient is φ = 3300111360.

The previous prime is 12375418313. The next prime is 12375418339. The reversal of 12375418320 is 2381457321.

12375418320 is a `hidden beast` number, since 1 + 2 + 37 + 541 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9696734784 + 2678683536 = 98472^2 + 51756^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8593321 + ... + 8594760.

Almost surely, 2^12375418320 is an apocalyptic number.

12375418320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12375418320 is an abundant number, since it is smaller than the sum of its proper divisors (29185363956).

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

12375418320 is a wasteful number, since it uses less digits than its factorization.

12375418320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17188100 (or 17188091 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12375418320 in words is "twelve billion, three hundred seventy-five million, four hundred eighteen thousand, three hundred twenty".