12138080256 has 384 divisors, whose sum is σ = 38012083200. Its totient is φ = 3822059520.

The previous prime is 12138080249. The next prime is 12138080309. The reversal of 12138080256 is 65208083121.

It is a happy number.

12138080256 is a `hidden beast` number, since 1 + 21 + 380 + 8 + 0 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 12138080256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125134800 + ... + 125134896.

It is an arithmetic number, because the mean of its divisors is an integer number (98989800).

Almost surely, 2^12138080256 is an apocalyptic number.

12138080256 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 12138080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006041600).

12138080256 is an abundant number, since it is smaller than the sum of its proper divisors (25874002944).

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

12138080256 is an equidigital number, since it uses as much as digits as its factorization.

12138080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12138080256 in words is "twelve billion, one hundred thirty-eight million, eighty thousand, two hundred fifty-six".