240012120 has 128 divisors (see below), whose sum is σ = 788875200. Its totient is φ = 58146816.

The previous prime is 240012089. The next prime is 240012131. The reversal of 240012120 is 21210042.

240012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 240012096 and 240012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57132 + ... + 61188.

Almost surely, 2^240012120 is an apocalyptic number.

240012120 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 240012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394437600).

240012120 is an abundant number, since it is smaller than the sum of its proper divisors (548863080).

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

240012120 is a wasteful number, since it uses less digits than its factorization.

240012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4113 counting only the distinct ones).

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

The square root of 240012120 is about 15492.3245512092. The cubic root of 240012120 is about 621.4569620308.

Adding to 240012120 its reverse (21210042), we get a palindrome (261222162).

The spelling of 240012120 in words is "two hundred forty million, twelve thousand, one hundred twenty".