12825075252100 has 72 divisors (see below), whose sum is σ = 29468710444320. Its totient is φ = 4828064709120.

The previous prime is 12825075252047. The next prime is 12825075252137. The reversal of 12825075252100 is 125257052821.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44974167 + ... + 45258433.

It is an arithmetic number, because the mean of its divisors is an integer number (409287645060).

Almost surely, 2^{12825075252100} is an apocalyptic number.

12825075252100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12825075252100 is an abundant number, since it is smaller than the sum of its proper divisors (16643635192220).

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

12825075252100 is a wasteful number, since it uses less digits than its factorization.

12825075252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310837 (or 310830 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 12825075252100 in words is "twelve trillion, eight hundred twenty-five billion, seventy-five million, two hundred fifty-two thousand, one hundred".