12918312 has 64 divisors (see below), whose sum is σ = 39153600. Its totient is φ = 3913920.

The previous prime is 12918293. The next prime is 12918319. The reversal of 12918312 is 21381921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12918319) 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, 343 + ... + 5094.

It is an arithmetic number, because the mean of its divisors is an integer number (611775).

Almost surely, 2^12918312 is an apocalyptic number.

12918312 is a gapful number since it is divisible by the number (12) 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 12918312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576800).

12918312 is an abundant number, since it is smaller than the sum of its proper divisors (26235288).

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

12918312 is a wasteful number, since it uses less digits than its factorization.

12918312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5453 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 12918312 is about 3594.2053363713. The cubic root of 12918312 is about 234.6399314555.

The spelling of 12918312 in words is "twelve million, nine hundred eighteen thousand, three hundred twelve".