3321020122200 has 576 divisors, whose sum is σ = 12761849617920. Its totient is φ = 766661760000.

The previous prime is 3321020122183. The next prime is 3321020122271. The reversal of 3321020122200 is 22210201233.

3321020122200 is a `hidden beast` number, since 3 + 321 + 0 + 20 + 122 + 200 = 666.

It is a super-2 number, since 2×3321020122200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34383975 + ... + 34480425.

It is an arithmetic number, because the mean of its divisors is an integer number (22155988920).

Almost surely, 2^{3321020122200} is an apocalyptic number.

3321020122200 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 3321020122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380924808960).

3321020122200 is an abundant number, since it is smaller than the sum of its proper divisors (9440829495720).

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

3321020122200 is a wasteful number, since it uses less digits than its factorization.

3321020122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96568 (or 96556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3321020122200 its reverse (22210201233), we get a palindrome (3343230323433).

The spelling of 3321020122200 in words is "three trillion, three hundred twenty-one billion, twenty million, one hundred twenty-two thousand, two hundred".