120024 has 24 divisors (see below), whose sum is σ = 325260. Its totient is φ = 39984.

The previous prime is 120017. The next prime is 120041. The reversal of 120024 is 420021.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 119988 and 120015.

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, 762 + ... + 905.

2¹²⁰⁰²⁴ is an apocalyptic number.

It is an amenable number.

120024 is an abundant number, since it is smaller than the sum of its proper divisors (205236).

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

120024 is a wasteful number, since it uses less digits than its factorization.

120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120024 is about 346.4448007980. Note that the first 3 decimals coincide. The cubic root of 120024 is about 49.3275295502.

Adding to 120024 its reverse (420021), we get a palindrome (540045).

The spelling of 120024 in words is "one hundred twenty thousand, twenty-four", and thus it is an iban number.