120112151184 has 105 divisors (see below), whose sum is σ = 349025089753. Its totient is φ = 40024907136.

The previous prime is 120112151179. The next prime is 120112151221. The reversal of 120112151184 is 481151211021.

The square root of 120112151184 is 346572.

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

120112151184 is a `hidden beast` number, since 1 + 20 + 1 + 121 + 511 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67689469584 + 52422681600 = 260172^2 + 228960^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 37428172 + ... + 37431380.

Almost surely, 2^120112151184 is an apocalyptic number.

120112151184 is the 346572-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120112151184

120112151184 is an abundant number, since it is smaller than the sum of its proper divisors (228912938569).

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

120112151184 is an frugal number, since it uses more digits than its factorization.

120112151184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The spelling of 120112151184 in words is "one hundred twenty billion, one hundred twelve million, one hundred fifty-one thousand, one hundred eighty-four".