120875684112 has 120 divisors (see below), whose sum is σ = 346023618200. Its totient is φ = 39378493440.

The previous prime is 120875684107. The next prime is 120875684143. The reversal of 120875684112 is 211486578021.

120875684112 is a `hidden beast` number, since 1 + 2 + 0 + 87 + 568 + 4 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 879952896 + 119995731216 = 29664^2 + 346404^2 .

It is a super-2 number, since 2×120875684112² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335264 + ... + 1422912.

Almost surely, 2^120875684112 is an apocalyptic number.

120875684112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120875684112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173011809100).

120875684112 is an abundant number, since it is smaller than the sum of its proper divisors (225147934088).

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

120875684112 is a wasteful number, since it uses less digits than its factorization.

120875684112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87881 (or 87872 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 120875684112 in words is "one hundred twenty billion, eight hundred seventy-five million, six hundred eighty-four thousand, one hundred twelve".