3321112000224 has 96 divisors (see below), whose sum is σ = 9033158322720. Its totient is φ = 1067130724352.

The previous prime is 3321112000223. The next prime is 3321112000243. The reversal of 3321112000224 is 4220002111233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3321112000224² (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 3321112000224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321112000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751012 + ... + 2684444.

It is an arithmetic number, because the mean of its divisors is an integer number (94095399195).

Almost surely, 2^{3321112000224} 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 3321112000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516579161360).

3321112000224 is an abundant number, since it is smaller than the sum of its proper divisors (5712046322496).

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

3321112000224 is a wasteful number, since it uses less digits than its factorization.

3321112000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934092 (or 1934084 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3321112000224 its reverse (4220002111233), we get a palindrome (7541114111457).

The spelling of 3321112000224 in words is "three trillion, three hundred twenty-one billion, one hundred twelve million, two hundred twenty-four", and thus it is an aban number.