127262714121 has 9 divisors (see below), whose sum is σ = 183825466279. Its totient is φ = 84841095936.

The previous prime is 127262714069. The next prime is 127262714143. The reversal of 127262714121 is 121417262721.

The square root of 127262714121 is 356739.

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

127262714121 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 627 + 1 + 4 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5506382025 + 121756332096 = 74205^2 + 348936^2 .

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

It is not a de Polignac number, because 127262714121 - 2²⁷ = 127128496393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127262714171) 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, 1010761 + ... + 1129673.

Almost surely, 2^127262714121 is an apocalyptic number.

127262714121 is the 356739-th square number.

127262714121 is the 178370-th centered octagonal number.

It is an amenable number.

127262714121 is a deficient number, since it is larger than the sum of its proper divisors (56562752158).

127262714121 is an frugal number, since it uses more digits than its factorization.

127262714121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237832 (or 118916 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

Multiplying 127262714121 by its sum of digits (36), we get a square (4581457708356 = 2140434²).

Adding to 127262714121 its reverse (121417262721), we get a palindrome (248679976842).

The spelling of 127262714121 in words is "one hundred twenty-seven billion, two hundred sixty-two million, seven hundred fourteen thousand, one hundred twenty-one".