12917280 has 96 divisors (see below), whose sum is σ = 43110144. Its totient is φ = 3239936.

The previous prime is 12917273. The next prime is 12917291. The reversal of 12917280 is 8271921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12917280² = 333712245196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7369 + ... + 8951.

It is an arithmetic number, because the mean of its divisors is an integer number (449064).

Almost surely, 2^12917280 is an apocalyptic number.

12917280 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 12917280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555072).

12917280 is an abundant number, since it is smaller than the sum of its proper divisors (30192864).

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

12917280 is a wasteful number, since it uses less digits than its factorization.

12917280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 12917280 is about 3594.0617690852. The cubic root of 12917280 is about 234.6336830938.

The spelling of 12917280 in words is "twelve million, nine hundred seventeen thousand, two hundred eighty".