120015267701904 has 45 divisors (see below), whose sum is σ = 335876429604313. Its totient is φ = 40005045413376.

The previous prime is 120015267701899. The next prime is 120015267701921. The reversal of 120015267701904 is 409107762510021.

The square root of 120015267701904 is 10955148.

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

120015267701904 is a `hidden beast` number, since 120 + 0 + 15 + 267 + 70 + 190 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2991336284304 + 117023931417600 = 1729548^2 + 10817760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120015267701904.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131005312 + ... + 131918240.

Almost surely, 2^{120015267701904} is an apocalyptic number.

120015267701904 is the 10955148-th square number.

It is an amenable number.

120015267701904 is an abundant number, since it is smaller than the sum of its proper divisors (215861161902409).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120015267701904 is an frugal number, since it uses more digits than its factorization.

120015267701904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825872 (or 912934 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 120015267701904 in words is "one hundred twenty trillion, fifteen billion, two hundred sixty-seven million, seven hundred one thousand, nine hundred four".