12268256 has 96 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 4400640.

The previous prime is 12268253. The next prime is 12268261. The reversal of 12268256 is 65286221.

12268256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31841 + ... + 32223.

It is an arithmetic number, because the mean of its divisors is an integer number (338688).

Almost surely, 2^12268256 is an apocalyptic number.

12268256 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 12268256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

12268256 is an abundant number, since it is smaller than the sum of its proper divisors (20245792).

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

12268256 is a wasteful number, since it uses less digits than its factorization.

12268256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 12268256 is about 3502.6070290571. The cubic root of 12268256 is about 230.6362722193.

12268256 divided by its sum of digits (32) gives a palindrome (383383).

The spelling of 12268256 in words is "twelve million, two hundred sixty-eight thousand, two hundred fifty-six".