330233100120 has 1024 divisors, whose sum is σ = 1494650880000. Its totient is φ = 62757918720.

The previous prime is 330233100097. The next prime is 330233100133. The reversal of 330233100120 is 21001332033.

330233100120 is a `hidden beast` number, since 330 + 2 + 3 + 310 + 0 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 330233100093 and 330233100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45817557 + ... + 45824763.

It is an arithmetic number, because the mean of its divisors is an integer number (1459620000).

Almost surely, 2^330233100120 is an apocalyptic number.

330233100120 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 330233100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747325440000).

330233100120 is an abundant number, since it is smaller than the sum of its proper divisors (1164417779880).

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

330233100120 is a wasteful number, since it uses less digits than its factorization.

330233100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330233100120 its reverse (21001332033), we get a palindrome (351234432153).

The spelling of 330233100120 in words is "three hundred thirty billion, two hundred thirty-three million, one hundred thousand, one hundred twenty".