12956328000 has 1792 divisors, whose sum is σ = 63905587200. Its totient is φ = 2488320000.

The previous prime is 12956327957. The next prime is 12956328023. The reversal of 12956328000 is 82365921.

12956328000 is a `hidden beast` number, since 12 + 9 + 5 + 632 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 316007980 + ... + 316008020.

It is an arithmetic number, because the mean of its divisors is an integer number (35661600).

Almost surely, 2^12956328000 is an apocalyptic number.

12956328000 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 12956328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31952793600).

12956328000 is an abundant number, since it is smaller than the sum of its proper divisors (50949259200).

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

12956328000 is a wasteful number, since it uses less digits than its factorization.

12956328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12956328000 in words is "twelve billion, nine hundred fifty-six million, three hundred twenty-eight thousand".