120907307059201 has 8 divisors (see below), whose sum is σ = 133383670827624. Its totient is φ = 108884629246080.

The previous prime is 120907307059183. The next prime is 120907307059213. The reversal of 120907307059201 is 102950703709021.

It can be written as a sum of positive squares in 4 ways, for example, as 9021156418576 + 111886150640625 = 3003524^2 + 10577625^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120907307059201 - 2⁵ = 120907307059169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120907307059271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113421488266 + ... + 113421489331.

It is an arithmetic number, because the mean of its divisors is an integer number (16672958853453).

Almost surely, 2^{120907307059201} is an apocalyptic number.

It is an amenable number.

120907307059201 is a deficient number, since it is larger than the sum of its proper divisors (12476363768423).

120907307059201 is a wasteful number, since it uses less digits than its factorization.

120907307059201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226842977651.

The product of its (nonzero) digits is 238140, while the sum is 46.

The spelling of 120907307059201 in words is "one hundred twenty trillion, nine hundred seven billion, three hundred seven million, fifty-nine thousand, two hundred one".