120132 has 36 divisors (see below), whose sum is σ = 314496. Its totient is φ = 38640.

The previous prime is 120121. The next prime is 120157. The reversal of 120132 is 231021.

It is a happy number.

120132 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

120132 is a modest number, since divided by 132 gives 12 as remainder.

It is an unprimeable number.

120132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1657 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹²⁰¹³² is an apocalyptic number.

120132 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 120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

120132 is an abundant number, since it is smaller than the sum of its proper divisors (194364).

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

120132 is a wasteful number, since it uses less digits than its factorization.

120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120132 is about 346.6006347369. The cubic root of 120132 is about 49.3423204145.

120132 divided by its product of nonzero digits (12) gives a triangular number (10011 = T₁₄₁).

Adding to 120132 its reverse (231021), we get a palindrome (351153).

Subtracting 120132 from its reverse (231021), we obtain a square (110889 = 333²).

It can be divided in two parts, 120 and 132, that added together give a palindrome (252).

The spelling of 120132 in words is "one hundred twenty thousand, one hundred thirty-two".