12913920 has 216 divisors, whose sum is σ = 47829600. Its totient is φ = 3207168.

The previous prime is 12913913. The next prime is 12913921. The reversal of 12913920 is 2931921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12913921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218851 + ... + 218909.

Almost surely, 2^12913920 is an apocalyptic number.

12913920 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 12913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23914800).

12913920 is an abundant number, since it is smaller than the sum of its proper divisors (34915680).

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

12913920 is a wasteful number, since it uses less digits than its factorization.

12913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12913920 is about 3593.5943009750. The cubic root of 12913920 is about 234.6133372846.

The spelling of 12913920 in words is "twelve million, nine hundred thirteen thousand, nine hundred twenty".