12575967080121 has 27 divisors (see below), whose sum is σ = 18863423090863. Its totient is φ = 8383786555320.

The previous prime is 12575967080087. The next prime is 12575967080129. The reversal of 12575967080121 is 12108076957521.

The square root of 12575967080121 is 3546261.

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

12575967080121 is a `hidden beast` number, since 1 + 2 + 575 + 9 + 67 + 0 + 8 + 0 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12461330663721 + 114636416400 = 3530061^2 + 338580^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 12575967080121 - 2¹⁵ = 12575967047353 is a prime.

It is a super-2 number, since 2×12575967080121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12575967080129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287225251 + ... + 287269031.

Almost surely, 2^{12575967080121} is an apocalyptic number.

12575967080121 is the 3546261-st square number.

12575967080121 is the 1773131-st centered octagonal number.

It is an amenable number.

12575967080121 is a deficient number, since it is larger than the sum of its proper divisors (6287456010742).

12575967080121 is an frugal number, since it uses more digits than its factorization.

12575967080121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87586 (or 43784 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 12575967080121 in words is "twelve trillion, five hundred seventy-five billion, nine hundred sixty-seven million, eighty thousand, one hundred twenty-one".