120032113032 has 128 divisors (see below), whose sum is σ = 361812528000. Its totient is φ = 36650914560.

The previous prime is 120032113009. The next prime is 120032113127. The reversal of 120032113032 is 230311230021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120032112996 and 120032113014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204694 + ... + 531002.

It is an arithmetic number, because the mean of its divisors is an integer number (2826660375).

Almost surely, 2^120032113032 is an apocalyptic number.

120032113032 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 120032113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180906264000).

120032113032 is an abundant number, since it is smaller than the sum of its proper divisors (241780414968).

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

120032113032 is a wasteful number, since it uses less digits than its factorization.

120032113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326468 (or 326458 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120032113032 its reverse (230311230021), we get a palindrome (350343343053).

The spelling of 120032113032 in words is "one hundred twenty billion, thirty-two million, one hundred thirteen thousand, thirty-two".