12818920 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 4780800.

The previous prime is 12818887. The next prime is 12818929. The reversal of 12818920 is 2981821.

It is a happy number.

12818920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12818929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76677 + ... + 76843.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^12818920 is an apocalyptic number.

12818920 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 12818920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

12818920 is an abundant number, since it is smaller than the sum of its proper divisors (18025880).

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

12818920 is a wasteful number, since it uses less digits than its factorization.

12818920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 12818920 is about 3580.3519380083. The cubic root of 12818920 is about 234.0366173490.

It can be divided in two parts, 1281 and 8920, that added together give a palindrome (10201).

The spelling of 12818920 in words is "twelve million, eight hundred eighteen thousand, nine hundred twenty".