3200122400200 has 384 divisors, whose sum is σ = 8455714156800. Its totient is φ = 1116080640000.

The previous prime is 3200122400179. The next prime is 3200122400201. The reversal of 3200122400200 is 20042210023.

It is not an unprimeable number, because it can be changed into a prime (3200122400201) 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 95 ways as a sum of consecutive naturals, for example, 2211555877 + ... + 2211557323.

It is an arithmetic number, because the mean of its divisors is an integer number (22020088950).

Almost surely, 2^{3200122400200} 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 3200122400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227857078400).

3200122400200 is an abundant number, since it is smaller than the sum of its proper divisors (5255591756600).

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

3200122400200 is a wasteful number, since it uses less digits than its factorization.

3200122400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 3200122400200 its reverse (20042210023), we get a palindrome (3220164610223).

The spelling of 3200122400200 in words is "three trillion, two hundred billion, one hundred twenty-two million, four hundred thousand, two hundred".