120058092036 has 243 divisors, whose sum is σ = 334284447861. Its totient is φ = 36323659008.

The previous prime is 120058091939. The next prime is 120058092047. The reversal of 120058092036 is 630290850021.

The square root of 120058092036 is 346494.

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

120058092036 is a `hidden beast` number, since 1 + 20 + 0 + 580 + 9 + 20 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93470832900 + 26587259136 = 305730^2 + 163056^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1519722645 + ... + 1519722723.

Almost surely, 2^120058092036 is an apocalyptic number.

120058092036 is the 346494-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120058092036

120058092036 is an abundant number, since it is smaller than the sum of its proper divisors (214226355825).

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

120058092036 is a wasteful number, since it uses less digits than its factorization.

120058092036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 120058092036 by its sum of digits (36), we get a square (4322091313296 = 2078964²).

120058092036 divided by its sum of digits (36) gives a square (3334947001 = 57749²).

The spelling of 120058092036 in words is "one hundred twenty billion, fifty-eight million, ninety-two thousand, thirty-six".