120032112113100 has 432 divisors, whose sum is σ = 432078771022080. Its totient is φ = 27564647846400.

The previous prime is 120032112113047. The next prime is 120032112113113. The reversal of 120032112113100 is 1311211230021.

120032112113100 is a `hidden beast` number, since 1 + 20 + 0 + 321 + 1 + 2 + 11 + 310 + 0 = 666.

It is a super-2 number, since 2×120032112113100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2709934554 + ... + 2709978846.

Almost surely, 2^{120032112113100} is an apocalyptic number.

120032112113100 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 120032112113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216039385511040).

120032112113100 is an abundant number, since it is smaller than the sum of its proper divisors (312046658908980).

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

120032112113100 is a wasteful number, since it uses less digits than its factorization.

120032112113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58750 (or 58740 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120032112113100 its reverse (1311211230021), we get a palindrome (121343323343121).

The spelling of 120032112113100 in words is "one hundred twenty trillion, thirty-two billion, one hundred twelve million, one hundred thirteen thousand, one hundred".