256112000 has 64 divisors (see below), whose sum is σ = 636798240. Its totient is φ = 102438400.

The previous prime is 256111993. The next prime is 256112009. The reversal of 256112000 is 211652.

256112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 256112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256112009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7997 + ... + 24003.

Almost surely, 2^256112000 is an apocalyptic number.

256112000 is a gapful number since it is divisible by the number (20) 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 256112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318399120).

256112000 is an abundant number, since it is smaller than the sum of its proper divisors (380686240).

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

256112000 is an equidigital number, since it uses as much as digits as its factorization.

256112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16036 (or 16014 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 256112000 is about 16003.4996172712. The cubic root of 256112000 is about 635.0530056813.

Adding to 256112000 its reverse (211652), we get a palindrome (256323652).

The spelling of 256112000 in words is "two hundred fifty-six million, one hundred twelve thousand".