120291331334328 has 768 divisors, whose sum is σ = 432109722240000. Its totient is φ = 30967740840960.

The previous prime is 120291331334297. The next prime is 120291331334351. The reversal of 120291331334328 is 823433133192021.

120291331334328 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 9 + 1 + 3 + 313 + 3 + 4 + 328 = 666.

It is a super-2 number, since 2×120291331334328² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1012945851 + ... + 1013064597.

It is an arithmetic number, because the mean of its divisors is an integer number (562642867500).

Almost surely, 2^{120291331334328} is an apocalyptic number.

120291331334328 is a gapful number since it is divisible by the number (18) 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 120291331334328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216054861120000).

120291331334328 is an abundant number, since it is smaller than the sum of its proper divisors (311818390905672).

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

120291331334328 is a wasteful number, since it uses less digits than its factorization.

120291331334328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118918 (or 118883 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 120291331334328 in words is "one hundred twenty trillion, two hundred ninety-one billion, three hundred thirty-one million, three hundred thirty-four thousand, three hundred twenty-eight".