12727077655009 has 9 divisors (see below), whose sum is σ = 13080485013267. Its totient is φ = 12382974153144.

The previous prime is 12727077655001. The next prime is 12727077655109. The reversal of 12727077655009 is 90055677072721.

The square root of 12727077655009 is 3567503.

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

It can be written as a sum of positive squares in only one way, i.e., 11388363862225 + 1338713792784 = 3374665^2 + 1157028^2 .

It is not a de Polignac number, because 12727077655009 - 2³ = 12727077655001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12727077655001) 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, 131949402 + ... + 132045820.

Almost surely, 2^{12727077655009} is an apocalyptic number.

12727077655009 is the 3567503-rd square number.

12727077655009 is the 1783752-nd centered octagonal number.

It is an amenable number.

12727077655009 is a deficient number, since it is larger than the sum of its proper divisors (353407358258).

12727077655009 is an frugal number, since it uses more digits than its factorization.

12727077655009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192912 (or 96456 counting only the distinct ones).

The product of its (nonzero) digits is 12965400, while the sum is 58.

The spelling of 12727077655009 in words is "twelve trillion, seven hundred twenty-seven billion, seventy-seven million, six hundred fifty-five thousand, nine".