12882456 has 128 divisors (see below), whose sum is σ = 39072000. Its totient is φ = 3919104.

The previous prime is 12882433. The next prime is 12882509. The reversal of 12882456 is 65428821.

12882456 is a `hidden beast` number, since 128 + 82 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12882456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176436 + ... + 176508.

It is an arithmetic number, because the mean of its divisors is an integer number (305250).

Almost surely, 2^12882456 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 12882456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536000).

12882456 is an abundant number, since it is smaller than the sum of its proper divisors (26189544).

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

12882456 is a wasteful number, since it uses less digits than its factorization.

12882456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12882456 is about 3589.2138414979. The cubic root of 12882456 is about 234.4226418351.

The spelling of 12882456 in words is "twelve million, eight hundred eighty-two thousand, four hundred fifty-six".