12488256 has 168 divisors, whose sum is σ = 41050464. Its totient is φ = 3732480.

The previous prime is 12488249. The next prime is 12488279. The reversal of 12488256 is 65288421.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12488256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171036 + ... + 171108.

It is an arithmetic number, because the mean of its divisors is an integer number (244348).

Almost surely, 2^12488256 is an apocalyptic number.

12488256 is a gapful number since it is divisible by the number (16) 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 12488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525232).

12488256 is an abundant number, since it is smaller than the sum of its proper divisors (28562208).

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

12488256 is an equidigital number, since it uses as much as digits as its factorization.

12488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12488256 is about 3533.8726632407. The cubic root of 12488256 is about 232.0067378146.

Subtracting from 12488256 its product of digits (30720), we obtain a triangular number (12457536 = T₄₉₉₁).

The spelling of 12488256 in words is "twelve million, four hundred eighty-eight thousand, two hundred fifty-six".