12805740977121 has 9 divisors (see below), whose sum is σ = 18497196918291. Its totient is φ = 8537153494392.

The previous prime is 12805740977069. The next prime is 12805740977171. The reversal of 12805740977121 is 12177904750821.

The square root of 12805740977121 is 3578511.

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

12805740977121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10914664950225 + 1891076026896 = 3303735^2 + 1375164^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12805740977121 - 2⁷ = 12805740976993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12805740977171) 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, 10139115 + ... + 11331951.

Almost surely, 2^{12805740977121} is an apocalyptic number.

12805740977121 is the 3578511-st square number.

12805740977121 is the 1789256-th centered octagonal number.

It is an amenable number.

12805740977121 is a deficient number, since it is larger than the sum of its proper divisors (5691455941170).

12805740977121 is an frugal number, since it uses more digits than its factorization.

12805740977121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385680 (or 1192840 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 12805740977121 in words is "twelve trillion, eight hundred five billion, seven hundred forty million, nine hundred seventy-seven thousand, one hundred twenty-one".