12961728000 has 640 divisors, whose sum is σ = 51655443840. Its totient is φ = 3185049600.

The previous prime is 12961727981. The next prime is 12961728011. The reversal of 12961728000 is 82716921.

12961728000 is a `hidden beast` number, since 12 + 9 + 617 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 22463712 + ... + 22464288.

It is an arithmetic number, because the mean of its divisors is an integer number (80711631).

Almost surely, 2^12961728000 is an apocalyptic number.

12961728000 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 12961728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25827721920).

12961728000 is an abundant number, since it is smaller than the sum of its proper divisors (38693715840).

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

12961728000 is an equidigital number, since it uses as much as digits as its factorization.

12961728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12961728000 in words is "twelve billion, nine hundred sixty-one million, seven hundred twenty-eight thousand".