120240 has 60 divisors (see below), whose sum is σ = 406224. Its totient is φ = 31872.

The previous prime is 120233. The next prime is 120247. The reversal of 120240 is 42021.

It is an interprime number because it is at equal distance from previous prime (120233) and next prime (120247).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (120247) by changing a digit.

120240 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, 637 + ... + 803.

2¹²⁰²⁴⁰ is an apocalyptic number.

120240 is a gapful number since it is divisible by the number (10) 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 120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112).

120240 is an abundant number, since it is smaller than the sum of its proper divisors (285984).

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

120240 is a wasteful number, since it uses less digits than its factorization.

120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

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

The square root of 120240 is about 346.7563986432. The cubic root of 120240 is about 49.3571024167.

Adding to 120240 its reverse (42021), we get a palindrome (162261).

The spelling of 120240 in words is "one hundred twenty thousand, two hundred forty", and thus it is an iban number.