12882880 has 56 divisors (see below), whose sum is σ = 31016448. Its totient is φ = 5096448.

The previous prime is 12882847. The next prime is 12882901. The reversal of 12882880 is 8828821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40482 + ... + 40798.

Almost surely, 2^12882880 is an apocalyptic number.

12882880 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 12882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508224).

12882880 is an abundant number, since it is smaller than the sum of its proper divisors (18133568).

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

12882880 is a wasteful number, since it uses less digits than its factorization.

12882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 12882880 is about 3589.2729068713. The cubic root of 12882880 is about 234.4252136560.

The spelling of 12882880 in words is "twelve million, eight hundred eighty-two thousand, eight hundred eighty".