3221012122200 has 288 divisors, whose sum is σ = 11579560200000. Its totient is φ = 799936853760.

The previous prime is 3221012122183. The next prime is 3221012122241. The reversal of 3221012122200 is 22212101223.

3221012122200 is a `hidden beast` number, since 322 + 1 + 0 + 121 + 2 + 220 + 0 = 666.

3221012122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219651 + ... + 2815949.

It is an arithmetic number, because the mean of its divisors is an integer number (40206806250).

Almost surely, 2^{3221012122200} is an apocalyptic number.

3221012122200 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 3221012122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789780100000).

3221012122200 is an abundant number, since it is smaller than the sum of its proper divisors (8358548077800).

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

3221012122200 is a wasteful number, since it uses less digits than its factorization.

3221012122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596399 (or 1596387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3221012122200 its reverse (22212101223), we get a palindrome (3243224223423).

The spelling of 3221012122200 in words is "three trillion, two hundred twenty-one billion, twelve million, one hundred twenty-two thousand, two hundred".