120271665057201 has 24 divisors (see below), whose sum is σ = 198739696908480. Its totient is φ = 68658821025696.

The previous prime is 120271665057199. The next prime is 120271665057227. The reversal of 120271665057201 is 102750566172021.

120271665057201 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 7 + 16 + 65 + 0 + 572 + 0 + 1 = 666.

It is not a de Polignac number, because 120271665057201 - 2¹ = 120271665057199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120271665057601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942223471 + ... + 942351108.

It is an arithmetic number, because the mean of its divisors is an integer number (8280820704520).

Almost surely, 2^{120271665057201} is an apocalyptic number.

It is an amenable number.

120271665057201 is a deficient number, since it is larger than the sum of its proper divisors (78468031851279).

120271665057201 is a wasteful number, since it uses less digits than its factorization.

120271665057201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884575605 (or 1884575602 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 120271665057201 in words is "one hundred twenty trillion, two hundred seventy-one billion, six hundred sixty-five million, fifty-seven thousand, two hundred one".