12128256 has 156 divisors (see below), whose sum is σ = 40889472. Its totient is φ = 3391488.

The previous prime is 12128243. The next prime is 12128257. The reversal of 12128256 is 65282121.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12128257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258025 + ... + 258071.

It is an arithmetic number, because the mean of its divisors is an integer number (262112).

Almost surely, 2^12128256 is an apocalyptic number.

12128256 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 12128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444736).

12128256 is an abundant number, since it is smaller than the sum of its proper divisors (28761216).

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

12128256 is an equidigital number, since it uses as much as digits as its factorization.

12128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 12128256 is about 3482.5645722657. The cubic root of 12128256 is about 229.7556068195.

The spelling of 12128256 in words is "twelve million, one hundred twenty-eight thousand, two hundred fifty-six".