12256272000 has 960 divisors, whose sum is σ = 53226356040. Its totient is φ = 2786918400.

The previous prime is 12256271999. The next prime is 12256272029. The reversal of 12256272000 is 27265221.

12256272000 is a `hidden beast` number, since 12 + 2 + 5 + 627 + 20 + 0 + 0 = 666.

12256272000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2196984384 + 10059287616 = 46872^2 + 100296^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63503904 + ... + 63504096.

Almost surely, 2^12256272000 is an apocalyptic number.

12256272000 is a gapful number since it is divisible by the number (10) 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 12256272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26613178020).

12256272000 is an abundant number, since it is smaller than the sum of its proper divisors (40970084040).

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

12256272000 is an equidigital number, since it uses as much as digits as its factorization.

12256272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 12256272000 in words is "twelve billion, two hundred fifty-six million, two hundred seventy-two thousand".