120321310113120 has 192 divisors, whose sum is σ = 388269769567680. Its totient is φ = 31302021120000.

The previous prime is 120321310113107. The next prime is 120321310113163. The reversal of 120321310113120 is 21311013123021.

It is a super-2 number, since 2×120321310113120² (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 31 ways as a sum of consecutive naturals, for example, 678891076 + ... + 679068284.

It is an arithmetic number, because the mean of its divisors is an integer number (2022238383165).

Almost surely, 2^{120321310113120} is an apocalyptic number.

120321310113120 is a gapful number since it is divisible by the number (10) 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 120321310113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194134884783840).

120321310113120 is an abundant number, since it is smaller than the sum of its proper divisors (267948459454560).

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

120321310113120 is a wasteful number, since it uses less digits than its factorization.

120321310113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211769 (or 211761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 120321310113120 its reverse (21311013123021), we get a palindrome (141632323236141).

The spelling of 120321310113120 in words is "one hundred twenty trillion, three hundred twenty-one billion, three hundred ten million, one hundred thirteen thousand, one hundred twenty".