120083432112 has 180 divisors, whose sum is σ = 392792522616. Its totient is φ = 34146524160.

The previous prime is 120083432111. The next prime is 120083432113. The reversal of 120083432112 is 211234380021.

120083432112 is a `hidden beast` number, since 1 + 200 + 8 + 343 + 2 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (120083432111) and next prime (120083432113).

It is not an unprimeable number, because it can be changed into a prime (120083432111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1448488 + ... + 1529144.

Almost surely, 2^120083432112 is an apocalyptic number.

120083432112 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 120083432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196396261308).

120083432112 is an abundant number, since it is smaller than the sum of its proper divisors (272709090504).

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

120083432112 is a wasteful number, since it uses less digits than its factorization.

120083432112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80896 (or 80880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 120083432112 in words is "one hundred twenty billion, eighty-three million, four hundred thirty-two thousand, one hundred twelve".