22122322200 has 288 divisors, whose sum is σ = 83241390960. Its totient is φ = 5217868800.

The previous prime is 22122322177. The next prime is 22122322289. The reversal of 22122322200 is 222322122.

22122322200 is a `hidden beast` number, since 2 + 212 + 232 + 220 + 0 = 666.

It is a super-2 number, since 2×22122322200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 717502 + ... + 747698.

Almost surely, 2^22122322200 is an apocalyptic number.

22122322200 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 22122322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41620695480).

22122322200 is an abundant number, since it is smaller than the sum of its proper divisors (61119068760).

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

22122322200 is a wasteful number, since it uses less digits than its factorization.

22122322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30267 (or 30255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22122322200 its reverse (222322122), we get a palindrome (22344644322).

The spelling of 22122322200 in words is "twenty-two billion, one hundred twenty-two million, three hundred twenty-two thousand, two hundred".