330002120 has 64 divisors (see below), whose sum is σ = 851904000. Its totient is φ = 112700160.

The previous prime is 330002119. The next prime is 330002159. The reversal of 330002120 is 21200033.

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, 73706 + ... + 78054.

It is an arithmetic number, because the mean of its divisors is an integer number (13311000).

Almost surely, 2^330002120 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 330002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425952000).

330002120 is an abundant number, since it is smaller than the sum of its proper divisors (521901880).

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

330002120 is a wasteful number, since it uses less digits than its factorization.

330002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 330002120 is about 18165.9604755708. The cubic root of 330002120 is about 691.0438028058.

Adding to 330002120 its reverse (21200033), we get a palindrome (351202153).

The spelling of 330002120 in words is "three hundred thirty million, two thousand, one hundred twenty".