3201222010200 has 192 divisors, whose sum is σ = 10137958272000. Its totient is φ = 835246832640.

The previous prime is 3201222010117. The next prime is 3201222010219. The reversal of 3201222010200 is 20102221023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3201222010200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106270741 + ... + 106300859.

It is an arithmetic number, because the mean of its divisors is an integer number (52801866000).

Almost surely, 2^{3201222010200} is an apocalyptic number.

3201222010200 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 3201222010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068979136000).

3201222010200 is an abundant number, since it is smaller than the sum of its proper divisors (6936736261800).

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

3201222010200 is a wasteful number, since it uses less digits than its factorization.

3201222010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33954 (or 33945 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 3201222010200 its reverse (20102221023), we get a palindrome (3221324231223).

The spelling of 3201222010200 in words is "three trillion, two hundred one billion, two hundred twenty-two million, ten thousand, two hundred".