120416634121 has 27 divisors (see below), whose sum is σ = 141922867989. Its totient is φ = 101871325248.

The previous prime is 120416634097. The next prime is 120416634131. The reversal of 120416634121 is 121436614021.

The square root of 120416634121 is 347011.

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

It can be written as a sum of positive squares in 4 ways, for example, as 63945765625 + 56470868496 = 252875^2 + 237636^2 .

It is not a de Polignac number, because 120416634121 - 2³³ = 111826699529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120416634131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216187575 + ... + 216188131.

Almost surely, 2^120416634121 is an apocalyptic number.

120416634121 is the 347011-st square number.

120416634121 is the 173506-th centered octagonal number.

It is an amenable number.

120416634121 is a deficient number, since it is larger than the sum of its proper divisors (21506233868).

120416634121 is an frugal number, since it uses more digits than its factorization.

120416634121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 120416634121 in words is "one hundred twenty billion, four hundred sixteen million, six hundred thirty-four thousand, one hundred twenty-one".