120032 has 36 divisors (see below), whose sum is σ = 268128. Its totient is φ = 52800.

The previous prime is 120017. The next prime is 120041. The reversal of 120032 is 230021.

It is a hoax number, since the sum of its digits (8) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3857 + ... + 3887.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2¹²⁰⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064).

120032 is an abundant number, since it is smaller than the sum of its proper divisors (148096).

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

120032 is a wasteful number, since it uses less digits than its factorization.

120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 120032 is about 346.4563464565. The cubic root of 120032 is about 49.3286254740.

Adding to 120032 its reverse (230021), we get a palindrome (350053).

The spelling of 120032 in words is "one hundred twenty thousand, thirty-two".