12652708075200 has 2016 divisors, whose sum is σ = 51657118732800. Its totient is φ = 3006147133440.

The previous prime is 12652708075193. The next prime is 12652708075201. The reversal of 12652708075200 is 257080725621.

12652708075200 is a `hidden beast` number, since 1 + 2 + 6 + 52 + 70 + 8 + 0 + 7 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12652708075201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39913905442 + ... + 39913905758.

It is an arithmetic number, because the mean of its divisors is an integer number (25623570800).

Almost surely, 2^{12652708075200} is an apocalyptic number.

12652708075200 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 12652708075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828559366400).

12652708075200 is an abundant number, since it is smaller than the sum of its proper divisors (39004410657600).

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

12652708075200 is a wasteful number, since it uses less digits than its factorization.

12652708075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 12652708075200 in words is "twelve trillion, six hundred fifty-two billion, seven hundred eight million, seventy-five thousand, two hundred".