12582144 has 108 divisors (see below), whose sum is σ = 37413376. Its totient is φ = 4064256.

The previous prime is 12582103. The next prime is 12582149. The reversal of 12582144 is 44128521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12582149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99009 + ... + 99135.

Almost surely, 2^12582144 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 12582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706688).

12582144 is an abundant number, since it is smaller than the sum of its proper divisors (24831232).

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

12582144 is a wasteful number, since it uses less digits than its factorization.

12582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 12582144 is about 3547.1317990737. The cubic root of 12582144 is about 232.5867037014.

The spelling of 12582144 in words is "twelve million, five hundred eighty-two thousand, one hundred forty-four".