3330313120120 has 384 divisors, whose sum is σ = 9043823923200. Its totient is φ = 1099825219584.

The previous prime is 3330313120091. The next prime is 3330313120139. The reversal of 3330313120120 is 210213130333.

It is a super-2 number, since 2×3330313120120² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330313120091 and 3330313120100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3223923124 + ... + 3223924156.

It is an arithmetic number, because the mean of its divisors is an integer number (23551624800).

Almost surely, 2^{3330313120120} 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 3330313120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521911961600).

3330313120120 is an abundant number, since it is smaller than the sum of its proper divisors (5713510803080).

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

3330313120120 is a wasteful number, since it uses less digits than its factorization.

3330313120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 3330313120120 its reverse (210213130333), we get a palindrome (3540526250453).

The spelling of 3330313120120 in words is "three trillion, three hundred thirty billion, three hundred thirteen million, one hundred twenty thousand, one hundred twenty".