22002200200200 has 768 divisors, whose sum is σ = 80039077171200. Its totient is φ = 4940626739200.

The previous prime is 22002200200171. The next prime is 22002200200273. The reversal of 22002200200200 is 200200220022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2505085009 + ... + 2505093791.

It is an arithmetic number, because the mean of its divisors is an integer number (104217548400).

Almost surely, 2^{22002200200200} is an apocalyptic number.

22002200200200 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 22002200200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40019538585600).

22002200200200 is an abundant number, since it is smaller than the sum of its proper divisors (58036876971000).

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

22002200200200 is a wasteful number, since it uses less digits than its factorization.

22002200200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22002200200200 its reverse (200200220022), we get a palindrome (22202400420222).

The spelling of 22002200200200 in words is "twenty-two trillion, two billion, two hundred million, two hundred thousand, two hundred".