3322100022120 has 640 divisors, whose sum is σ = 13011970688640. Its totient is φ = 751260303360.

The previous prime is 3322100022089. The next prime is 3322100022121. The reversal of 3322100022120 is 212200012233.

3322100022120 is a `hidden beast` number, since 3 + 322 + 100 + 0 + 221 + 20 = 666.

It is a super-2 number, since 2×3322100022120² (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 junction number, because it is equal to n+sod(n) for n = 3322100022093 and 3322100022102.

It is not an unprimeable number, because it can be changed into a prime (3322100022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68440179 + ... + 68488701.

It is an arithmetic number, because the mean of its divisors is an integer number (20331204201).

Almost surely, 2^{3322100022120} is an apocalyptic number.

3322100022120 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 3322100022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505985344320).

3322100022120 is an abundant number, since it is smaller than the sum of its proper divisors (9689870666520).

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

3322100022120 is a wasteful number, since it uses less digits than its factorization.

3322100022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48687 (or 48674 counting only the distinct ones).

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

Adding to 3322100022120 its reverse (212200012233), we get a palindrome (3534300034353).

The spelling of 3322100022120 in words is "three trillion, three hundred twenty-two billion, one hundred million, twenty-two thousand, one hundred twenty".