12588288 has 72 divisors (see below), whose sum is σ = 34486368. Its totient is φ = 4073472.

The previous prime is 12588287. The next prime is 12588307. The reversal of 12588288 is 88288521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28195 + ... + 28637.

Almost surely, 2^12588288 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 12588288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243184).

12588288 is an abundant number, since it is smaller than the sum of its proper divisors (21898080).

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

12588288 is an equidigital number, since it uses as much as digits as its factorization.

12588288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its digits is 81920, while the sum is 42.

The square root of 12588288 is about 3547.9977452079. The cubic root of 12588288 is about 232.6245557603.

The spelling of 12588288 in words is "twelve million, five hundred eighty-eight thousand, two hundred eighty-eight".