330242120 has 64 divisors (see below), whose sum is σ = 810432000. Its totient is φ = 120377088.

The previous prime is 330242117. The next prime is 330242123. The reversal of 330242120 is 21242033.

It is an interprime number because it is at equal distance from previous prime (330242117) and next prime (330242123).

It is not an unprimeable number, because it can be changed into a prime (330242123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37061 + ... + 45099.

It is an arithmetic number, because the mean of its divisors is an integer number (12663000).

Almost surely, 2^330242120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405216000).

330242120 is an abundant number, since it is smaller than the sum of its proper divisors (480189880).

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

330242120 is a wasteful number, since it uses less digits than its factorization.

330242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 330242120 is about 18172.5650363398. The cubic root of 330242120 is about 691.2112869045.

Adding to 330242120 its reverse (21242033), we get a palindrome (351484153).

The spelling of 330242120 in words is "three hundred thirty million, two hundred forty-two thousand, one hundred twenty".