20322220200200 has 288 divisors, whose sum is σ = 50317006123800. Its totient is φ = 7627372462080.

The previous prime is 20322220200187. The next prime is 20322220200209. The reversal of 20322220200200 is 200202222302.

It can be written as a sum of positive squares in 36 ways, for example, as 341731438084 + 19980488762116 = 584578^2 + 4469954^2 .

It is not an unprimeable number, because it can be changed into a prime (20322220200209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7648557272 + ... + 7648559928.

Almost surely, 2^{20322220200200} is an apocalyptic number.

20322220200200 is a gapful number since it is divisible by the number (20) 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 20322220200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25158503061900).

20322220200200 is an abundant number, since it is smaller than the sum of its proper divisors (29994785923600).

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

20322220200200 is a wasteful number, since it uses less digits than its factorization.

20322220200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 20322220200200 its reverse (200202222302), we get a palindrome (20522422422502).

The spelling of 20322220200200 in words is "twenty trillion, three hundred twenty-two billion, two hundred twenty million, two hundred thousand, two hundred".