12133328256 has 576 divisors, whose sum is σ = 44442216000. Its totient is φ = 3276370944.

The previous prime is 12133328227. The next prime is 12133328257. The reversal of 12133328256 is 65282333121.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 12133328256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133328257) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28957615 + ... + 28958033.

It is an arithmetic number, because the mean of its divisors is an integer number (77156625).

Almost surely, 2^12133328256 is an apocalyptic number.

12133328256 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 12133328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221108000).

12133328256 is an abundant number, since it is smaller than the sum of its proper divisors (32308887744).

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

12133328256 is an equidigital number, since it uses as much as digits as its factorization.

12133328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 450 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 12133328256 in words is "twelve billion, one hundred thirty-three million, three hundred twenty-eight thousand, two hundred fifty-six".