120432 has 40 divisors (see below), whose sum is σ = 336784. Its totient is φ = 36864.

The previous prime is 120431. The next prime is 120473. The reversal of 120432 is 234021.

120432 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528 + ... + 720.

2¹²⁰⁴³² is an apocalyptic number.

120432 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 120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168392).

120432 is an abundant number, since it is smaller than the sum of its proper divisors (216352).

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

120432 is a wasteful number, since it uses less digits than its factorization.

120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 120432 is about 347.0331396279. The cubic root of 120432 is about 49.3833596912.

Adding to 120432 its reverse (234021), we get a palindrome (354453).

The spelling of 120432 in words is "one hundred twenty thousand, four hundred thirty-two".