12882144 has 72 divisors (see below), whose sum is σ = 37202760. Its totient is φ = 3900160.

The previous prime is 12882137. The next prime is 12882151. The reversal of 12882144 is 44128821.

It is an interprime number because it is at equal distance from previous prime (12882137) and next prime (12882151).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11062 + ... + 12170.

It is an arithmetic number, because the mean of its divisors is an integer number (516705).

Almost surely, 2^12882144 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 12882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601380).

12882144 is an abundant number, since it is smaller than the sum of its proper divisors (24320616).

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

12882144 is a wasteful number, since it uses less digits than its factorization.

12882144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 12882144 is about 3589.1703776778. The cubic root of 12882144 is about 234.4207493271.

The spelling of 12882144 in words is "twelve million, eight hundred eighty-two thousand, one hundred forty-four".