2200202221122 has 96 divisors (see below), whose sum is σ = 5079695587200. Its totient is φ = 685864558080.

The previous prime is 2200202221117. The next prime is 2200202221123. The reversal of 2200202221122 is 2211222020022.

2200202221122 is a `hidden beast` number, since 220 + 0 + 202 + 221 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2200202221095 and 2200202221104.

It is not an unprimeable number, because it can be changed into a prime (2200202221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96918129 + ... + 96940827.

It is an arithmetic number, because the mean of its divisors is an integer number (52913495700).

Almost surely, 2^{2200202221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200202221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539847793600).

2200202221122 is an abundant number, since it is smaller than the sum of its proper divisors (2879493366078).

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

2200202221122 is a wasteful number, since it uses less digits than its factorization.

2200202221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24728 (or 24725 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2200202221122 its reverse (2211222020022), we get a palindrome (4411424241144).

The spelling of 2200202221122 in words is "two trillion, two hundred billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty-two".