120144 has 20 divisors (see below), whose sum is σ = 310496. Its totient is φ = 40032.

The previous prime is 120121. The next prime is 120157. The reversal of 120144 is 441021.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120144.

It is an unprimeable number.

120144 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 3 ways as a sum of consecutive naturals, for example, 1204 + ... + 1299.

2¹²⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

120144 is an abundant number, since it is smaller than the sum of its proper divisors (190352).

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

120144 is a wasteful number, since it uses less digits than its factorization.

120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120144 is about 346.6179452942. The cubic root of 120144 is about 49.3439632966.

Adding to 120144 its reverse (441021), we get a palindrome (561165).

The spelling of 120144 in words is "one hundred twenty thousand, one hundred forty-four", and thus it is an iban number.