12728074867200 has 1440 divisors, whose sum is σ = 57345417372672. Its totient is φ = 2618929152000.

The previous prime is 12728074867187. The next prime is 12728074867217. The reversal of 12728074867200 is 276847082721.

12728074867200 is a `hidden beast` number, since 12 + 7 + 2 + 80 + 7 + 486 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 913644235 + ... + 913658165.

Almost surely, 2^{12728074867200} is an apocalyptic number.

12728074867200 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 12728074867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28672708686336).

12728074867200 is an abundant number, since it is smaller than the sum of its proper divisors (44617342505472).

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

12728074867200 is a wasteful number, since it uses less digits than its factorization.

12728074867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14062 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 12728074867200 in words is "twelve trillion, seven hundred twenty-eight billion, seventy-four million, eight hundred sixty-seven thousand, two hundred".