240120120 has 64 divisors (see below), whose sum is σ = 723025440. Its totient is φ = 63795200.

The previous prime is 240120073. The next prime is 240120169. The reversal of 240120120 is 21021042.

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

240120120 is a modest number, since divided by 120120 gives 240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 240120096 and 240120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30160 + ... + 37280.

Almost surely, 2^240120120 is an apocalyptic number.

240120120 is a gapful number since it is divisible by the number (20) 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 240120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361512720).

240120120 is an abundant number, since it is smaller than the sum of its proper divisors (482905320).

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

240120120 is a wasteful number, since it uses less digits than its factorization.

240120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416 (or 7412 counting only the distinct ones).

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

The square root of 240120120 is about 15495.8097561889. The cubic root of 240120120 is about 621.5501618899.

Adding to 240120120 its reverse (21021042), we get a palindrome (261141162).

The spelling of 240120120 in words is "two hundred forty million, one hundred twenty thousand, one hundred twenty".