3321201344120 has 256 divisors, whose sum is σ = 8923799808000. Its totient is φ = 1099649689600.

The previous prime is 3321201344107. The next prime is 3321201344177. The reversal of 3321201344120 is 214431021233.

It is a super-2 number, since 2×3321201344120² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3321201344120.

It is a congruent number.

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, 20757386 + ... + 20916774.

It is an arithmetic number, because the mean of its divisors is an integer number (34858593000).

Almost surely, 2^{3321201344120} 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 3321201344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461899904000).

3321201344120 is an abundant number, since it is smaller than the sum of its proper divisors (5602598463880).

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

3321201344120 is a wasteful number, since it uses less digits than its factorization.

3321201344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159534 (or 159530 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 3321201344120 its reverse (214431021233), we get a palindrome (3535632365353).

The spelling of 3321201344120 in words is "three trillion, three hundred twenty-one billion, two hundred one million, three hundred forty-four thousand, one hundred twenty".