12916288 has 56 divisors (see below), whose sum is σ = 31967424. Its totient is φ = 5030400.

The previous prime is 12916279. The next prime is 12916289. The reversal of 12916288 is 88261921.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12916289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3618 + ... + 6238.

Almost surely, 2^12916288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983712).

12916288 is an abundant number, since it is smaller than the sum of its proper divisors (19051136).

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

12916288 is a wasteful number, since it uses less digits than its factorization.

12916288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2641 counting only the distinct ones).

The product of its digits is 13824, while the sum is 37.

The square root of 12916288 is about 3593.9237610166. The cubic root of 12916288 is about 234.6276766029.

Subtracting from 12916288 its product of digits (13824), we obtain a square (12902464 = 3592²).

The spelling of 12916288 in words is "twelve million, nine hundred sixteen thousand, two hundred eighty-eight".