120345933312 has 240 divisors, whose sum is σ = 379426853520. Its totient is φ = 36417945600.

The previous prime is 120345933289. The next prime is 120345933313. The reversal of 120345933312 is 213339543021.

120345933312 is a `hidden beast` number, since 1 + 2 + 0 + 34 + 593 + 3 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120345933313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54184362 + ... + 54186582.

It is an arithmetic number, because the mean of its divisors is an integer number (1580945223).

Almost surely, 2^120345933312 is an apocalyptic number.

120345933312 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 120345933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189713426760).

120345933312 is an abundant number, since it is smaller than the sum of its proper divisors (259080920208).

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

120345933312 is a wasteful number, since it uses less digits than its factorization.

120345933312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 120345933312 in words is "one hundred twenty billion, three hundred forty-five million, nine hundred thirty-three thousand, three hundred twelve".