120329438112 has 192 divisors, whose sum is σ = 388174268160. Its totient is φ = 36023657472.

The previous prime is 120329438107. The next prime is 120329438113. The reversal of 120329438112 is 211834923021.

120329438112 is a `hidden beast` number, since 1 + 203 + 2 + 9 + 438 + 1 + 12 = 666.

120329438112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (120329438113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270813 + ... + 560355.

It is an arithmetic number, because the mean of its divisors is an integer number (2021740980).

Almost surely, 2^120329438112 is an apocalyptic number.

120329438112 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 120329438112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194087134080).

120329438112 is an abundant number, since it is smaller than the sum of its proper divisors (267844830048).

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

120329438112 is a wasteful number, since it uses less digits than its factorization.

120329438112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289612 (or 289598 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 120329438112 in words is "one hundred twenty billion, three hundred twenty-nine million, four hundred thirty-eight thousand, one hundred twelve".