120854960164 has 27 divisors (see below), whose sum is σ = 213735127123. Its totient is φ = 59794424000.

The previous prime is 120854960159. The next prime is 120854960173. The reversal of 120854960164 is 461069458021.

It is a happy number.

The square root of 120854960164 is 347642.

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 66379400164 + 54475560000 = 257642^2 + 233400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70222824 + ... + 70224544.

Almost surely, 2^120854960164 is an apocalyptic number.

120854960164 is the 347642-nd square number.

It is an amenable number.

120854960164 is a deficient number, since it is larger than the sum of its proper divisors (92880166959).

120854960164 is an frugal number, since it uses more digits than its factorization.

120854960164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 120854960164 in words is "one hundred twenty billion, eight hundred fifty-four million, nine hundred sixty thousand, one hundred sixty-four".