330122016 has 216 divisors, whose sum is σ = 1106387100. Its totient is φ = 93090816.

The previous prime is 330121999. The next prime is 330122021. The reversal of 330122016 is 610221033.

It can be written as a sum of positive squares in 2 ways, for example, as 296528400 + 33593616 = 17220^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 330122016.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2102610 + ... + 2102766.

Almost surely, 2^330122016 is an apocalyptic number.

330122016 is a gapful number since it is divisible by the number (36) 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 330122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553193550).

330122016 is an abundant number, since it is smaller than the sum of its proper divisors (776265084).

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

330122016 is a wasteful number, since it uses less digits than its factorization.

330122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 330122016 is about 18169.2601940750. The cubic root of 330122016 is about 691.1274824255.

Adding to 330122016 its reverse (610221033), we get a palindrome (940343049).

The spelling of 330122016 in words is "three hundred thirty million, one hundred twenty-two thousand, sixteen".