12623815120 has 120 divisors (see below), whose sum is σ = 36150826824. Its totient is φ = 4073545728.

The previous prime is 12623815109. The next prime is 12623815151. The reversal of 12623815120 is 2151832621.

It can be written as a sum of positive squares in 4 ways, for example, as 5740789824 + 6883025296 = 75768^2 + 82964^2 .

It is a super-2 number, since 2×12623815120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28077 + ... + 161356.

Almost surely, 2^12623815120 is an apocalyptic number.

12623815120 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 12623815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075413412).

12623815120 is an abundant number, since it is smaller than the sum of its proper divisors (23527011704).

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

12623815120 is a wasteful number, since it uses less digits than its factorization.

12623815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189477 (or 189464 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 12623815120 in words is "twelve billion, six hundred twenty-three million, eight hundred fifteen thousand, one hundred twenty".