22122112120200 has 144 divisors (see below), whose sum is σ = 75874138030080. Its totient is φ = 5773714346880.

The previous prime is 22122112120193. The next prime is 22122112120231. The reversal of 22122112120200 is 202121122122.

It is a happy number.

22122112120200 is a `hidden beast` number, since 2 + 212 + 211 + 21 + 20 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130660744 + ... + 130829943.

It is an arithmetic number, because the mean of its divisors is an integer number (526903736320).

Almost surely, 2^{22122112120200} is an apocalyptic number.

22122112120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122112120200 is an abundant number, since it is smaller than the sum of its proper divisors (53752025909880).

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

22122112120200 is a wasteful number, since it uses less digits than its factorization.

22122112120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261490756 (or 261490744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22122112120200 its reverse (202121122122), we get a palindrome (22324233242322).

The spelling of 22122112120200 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, two hundred".