330221313120 has 192 divisors, whose sum is σ = 1047978860544. Its totient is φ = 87402577920.

The previous prime is 330221313067. The next prime is 330221313143. The reversal of 330221313120 is 21313122033.

It is a super-2 number, since 2×330221313120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38785984 + ... + 38794496.

It is an arithmetic number, because the mean of its divisors is an integer number (5458223232).

Almost surely, 2^330221313120 is an apocalyptic number.

330221313120 is a gapful number since it is divisible by the number (30) 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 330221313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523989430272).

330221313120 is an abundant number, since it is smaller than the sum of its proper divisors (717757547424).

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

330221313120 is a wasteful number, since it uses less digits than its factorization.

330221313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 330221313120 its reverse (21313122033), we get a palindrome (351534435153).

The spelling of 330221313120 in words is "three hundred thirty billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".