22000120200200 has 192 divisors, whose sum is σ = 52621543501200. Its totient is φ = 8550619545600.

The previous prime is 22000120200199. The next prime is 22000120200209. The reversal of 22000120200200 is 200202100022.

It can be written as a sum of positive squares in 24 ways, for example, as 2629541155396 + 19370579044804 = 1621586^2 + 4401202^2 .

It is not an unprimeable number, because it can be changed into a prime (22000120200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251918614 + ... + 1251936186.

Almost surely, 2^{22000120200200} is an apocalyptic number.

22000120200200 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 22000120200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26310771750600).

22000120200200 is an abundant number, since it is smaller than the sum of its proper divisors (30621423301000).

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

22000120200200 is a wasteful number, since it uses less digits than its factorization.

22000120200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18892 (or 18883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22000120200200 its reverse (200202100022), we get a palindrome (22200322300222).

The spelling of 22000120200200 in words is "twenty-two trillion, one hundred twenty million, two hundred thousand, two hundred".