127640122354311 has 64 divisors (see below), whose sum is σ = 206695747123200. Its totient is φ = 68501712738816.

The previous prime is 127640122354271. The next prime is 127640122354333. The reversal of 127640122354311 is 113453221046721.

It is a happy number.

It is not a de Polignac number, because 127640122354311 - 2²¹ = 127640120257159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127640122354391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89719150 + ... + 91130708.

It is an arithmetic number, because the mean of its divisors is an integer number (3229621048800).

Almost surely, 2^{127640122354311} is an apocalyptic number.

127640122354311 is a deficient number, since it is larger than the sum of its proper divisors (79055624768889).

127640122354311 is a wasteful number, since it uses less digits than its factorization.

127640122354311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415648.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 127640122354311 in words is "one hundred twenty-seven trillion, six hundred forty billion, one hundred twenty-two million, three hundred fifty-four thousand, three hundred eleven".