22222110121200 has 480 divisors, whose sum is σ = 86605522963200. Its totient is φ = 5367143808000.

The previous prime is 22222110121147. The next prime is 22222110121201. The reversal of 22222110121200 is 212101122222.

It is a happy number.

22222110121200 is a `hidden beast` number, since 222 + 221 + 1 + 0 + 1 + 21 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222110121201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31609515 + ... + 32304885.

It is an arithmetic number, because the mean of its divisors is an integer number (180428172840).

Almost surely, 2^{22222110121200} is an apocalyptic number.

22222110121200 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 22222110121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43302761481600).

22222110121200 is an abundant number, since it is smaller than the sum of its proper divisors (64383412842000).

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

22222110121200 is a wasteful number, since it uses less digits than its factorization.

22222110121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695678 (or 695661 counting only the distinct ones).

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

Adding to 22222110121200 its reverse (212101122222), we get a palindrome (22434211243422).

The spelling of 22222110121200 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, two hundred".