12588 has 12 divisors (see below), whose sum is σ = 29400. Its totient is φ = 4192.

The previous prime is 12583. The next prime is 12589. The reversal of 12588 is 88521.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12588.

It is not an unprimeable number, because it can be changed into a prime (12583) by changing a digit.

12588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 513 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (2450).

2¹²⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

12588 is an abundant number, since it is smaller than the sum of its proper divisors (16812).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14700).

12588 is a wasteful number, since it uses less digits than its factorization.

12588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 12588 is about 112.1962566220. The cubic root of 12588 is about 23.2622781720.

It can be divided in two parts, 12 and 588, that multiplied together give a square (7056 = 84²).

The spelling of 12588 in words is "twelve thousand, five hundred eighty-eight".