12588912 has 160 divisors (see below), whose sum is σ = 43330560. Its totient is φ = 3421440.

The previous prime is 12588911. The next prime is 12588913. The reversal of 12588912 is 21988521.

It is an interprime number because it is at equal distance from previous prime (12588911) and next prime (12588913).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69462 + ... + 69642.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^12588912 is an apocalyptic number.

12588912 is a gapful number since it is divisible by the number (12) 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 12588912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

12588912 is an abundant number, since it is smaller than the sum of its proper divisors (30741648).

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

12588912 is a wasteful number, since it uses less digits than its factorization.

12588912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 12588912 is about 3548.0856810398. The cubic root of 12588912 is about 232.6283994210.

The spelling of 12588912 in words is "twelve million, five hundred eighty-eight thousand, nine hundred twelve".