330122000 has 80 divisors (see below), whose sum is σ = 859705392. Its totient is φ = 121881600.

The previous prime is 330121999. The next prime is 330122021. The reversal of 330122000 is 221033.

It can be written as a sum of positive squares in 8 ways, for example, as 221295376 + 108826624 = 14876^2 + 10432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 19652 + ... + 32348.

Almost surely, 2^330122000 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 330122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429852696).

330122000 is an abundant number, since it is smaller than the sum of its proper divisors (529583392).

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

330122000 is a wasteful number, since it uses less digits than its factorization.

330122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733 (or 12717 counting only the distinct ones).

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

The square root of 330122000 is about 18169.2597537709. The cubic root of 330122000 is about 691.1274712599.

Adding to 330122000 its reverse (221033), we get a palindrome (330343033).

The spelling of 330122000 in words is "three hundred thirty million, one hundred twenty-two thousand".