3321322212000 has 384 divisors, whose sum is σ = 11759479699968. Its totient is φ = 814636032000.

The previous prime is 3321322211969. The next prime is 3321322212007. The reversal of 3321322212000 is 2122231233.

It is a happy number.

It is a super-2 number, since 2×3321322212000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321322212007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43798117 + ... + 43873883.

It is an arithmetic number, because the mean of its divisors is an integer number (30623645052).

Almost surely, 2^{3321322212000} is an apocalyptic number.

3321322212000 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 3321322212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879739849984).

3321322212000 is an abundant number, since it is smaller than the sum of its proper divisors (8438157487968).

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

3321322212000 is a wasteful number, since it uses less digits than its factorization.

3321322212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76089 (or 76071 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3321322212000 its reverse (2122231233), we get a palindrome (3323444443233).

The spelling of 3321322212000 in words is "three trillion, three hundred twenty-one billion, three hundred twenty-two million, two hundred twelve thousand".