3201222200000 has 672 divisors, whose sum is σ = 8903400145920. Its totient is φ = 1132185600000.

The previous prime is 3201222199969. The next prime is 3201222200017. The reversal of 3201222200000 is 22221023.

3201222200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19639399919 + ... + 19639400081.

It is an arithmetic number, because the mean of its divisors is an integer number (13249107360).

Almost surely, 2^{3201222200000} 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 3201222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451700072960).

3201222200000 is an abundant number, since it is smaller than the sum of its proper divisors (5702177945920).

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

3201222200000 is a wasteful number, since it uses less digits than its factorization.

3201222200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 3201222200000 its reverse (22221023), we get a palindrome (3201244421023).

The spelling of 3201222200000 in words is "three trillion, two hundred one billion, two hundred twenty-two million, two hundred thousand".