12875825124100 has 27 divisors (see below), whose sum is σ = 27940618385407. Its totient is φ = 5150315696480.

The previous prime is 12875825124067. The next prime is 12875825124101. The reversal of 12875825124100 is 142152857821.

The square root of 12875825124100 is 3588290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3252229919236 + 9623595204864 = 1803394^2 + 3102192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12875825124101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35703486 + ... + 36062314.

Almost surely, 2^{12875825124100} is an apocalyptic number.

12875825124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12875825124100 is the 3588290-th square number.

It is an amenable number.

12875825124100 is an abundant number, since it is smaller than the sum of its proper divisors (15064793261307).

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

12875825124100 is an frugal number, since it uses more digits than its factorization.

12875825124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717672 (or 358836 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 46.

The spelling of 12875825124100 in words is "twelve trillion, eight hundred seventy-five billion, eight hundred twenty-five million, one hundred twenty-four thousand, one hundred".