240302120 has 64 divisors (see below), whose sum is σ = 588816000. Its totient is φ = 87913728.

The previous prime is 240302113. The next prime is 240302147. The reversal of 240302120 is 21203042.

It is a junction number, because it is equal to n+sod(n) for n = 240302095 and 240302104.

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, 16589 + ... + 27491.

It is an arithmetic number, because the mean of its divisors is an integer number (9200250).

Almost surely, 2^240302120 is an apocalyptic number.

240302120 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 240302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294408000).

240302120 is an abundant number, since it is smaller than the sum of its proper divisors (348513880).

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

240302120 is a wasteful number, since it uses less digits than its factorization.

240302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10962 (or 10958 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 240302120 is about 15501.6811991474. The cubic root of 240302120 is about 621.7071577038.

Adding to 240302120 its reverse (21203042), we get a palindrome (261505162).

The spelling of 240302120 in words is "two hundred forty million, three hundred two thousand, one hundred twenty".