12415920 has 80 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 3009280.

The previous prime is 12415919. The next prime is 12415937. The reversal of 12415920 is 2951421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289 + ... + 4991.

Almost surely, 2^12415920 is an apocalyptic number.

12415920 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 12415920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

12415920 is an abundant number, since it is smaller than the sum of its proper divisors (29581392).

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

12415920 is a wasteful number, since it uses less digits than its factorization.

12415920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 12415920 is about 3523.6231353537. The cubic root of 12415920 is about 231.5579175481.

The spelling of 12415920 in words is "twelve million, four hundred fifteen thousand, nine hundred twenty".