12918920 has 128 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 4064256.

The previous prime is 12918911. The next prime is 12918923. The reversal of 12918920 is 2981921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12918923) 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 31 ways as a sum of consecutive naturals, for example, 300419 + ... + 300461.

It is an arithmetic number, because the mean of its divisors is an integer number (282150).

Almost surely, 2^12918920 is an apocalyptic number.

12918920 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 12918920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

12918920 is an abundant number, since it is smaller than the sum of its proper divisors (23196280).

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

12918920 is a wasteful number, since it uses less digits than its factorization.

12918920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 12918920 is about 3594.2899159639. The cubic root of 12918920 is about 234.6436125050.

The spelling of 12918920 in words is "twelve million, nine hundred eighteen thousand, nine hundred twenty".