3330222120000 has 560 divisors, whose sum is σ = 12628647539200. Its totient is φ = 859403520000.

The previous prime is 3330222119953. The next prime is 3330222120041. The reversal of 3330222120000 is 212220333.

It is a happy number.

It is a super-2 number, since 2×3330222120000² (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 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 79 ways as a sum of consecutive naturals, for example, 33430266 + ... + 33529734.

It is an arithmetic number, because the mean of its divisors is an integer number (22551156320).

Almost surely, 2^{3330222120000} is an apocalyptic number.

3330222120000 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 3330222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314323769600).

3330222120000 is an abundant number, since it is smaller than the sum of its proper divisors (9298425419200).

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

3330222120000 is an equidigital number, since it uses as much as digits as its factorization.

3330222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99541 (or 99510 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3330222120000 its reverse (212220333), we get a palindrome (3330434340333).

The spelling of 3330222120000 in words is "three trillion, three hundred thirty billion, two hundred twenty-two million, one hundred twenty thousand".