3330122322120 has 256 divisors, whose sum is σ = 11658648556800. Its totient is φ = 751980380160.

The previous prime is 3330122322113. The next prime is 3330122322139. The reversal of 3330122322120 is 212232210333.

It is a super-2 number, since 2×3330122322120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1411726 + ... + 2941634.

It is an arithmetic number, because the mean of its divisors is an integer number (45541595925).

Almost surely, 2^{3330122322120} is an apocalyptic number.

3330122322120 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 3330122322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829324278400).

3330122322120 is an abundant number, since it is smaller than the sum of its proper divisors (8328526234680).

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

3330122322120 is a wasteful number, since it uses less digits than its factorization.

3330122322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530048 (or 1530044 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3330122322120 its reverse (212232210333), we get a palindrome (3542354532453).

The spelling of 3330122322120 in words is "three trillion, three hundred thirty billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty".