22112120212200 has 288 divisors, whose sum is σ = 76772007586560. Its totient is φ = 5699201472000.

The previous prime is 22112120212199. The next prime is 22112120212277. The reversal of 22112120212200 is 221202121122.

It is a happy number.

22112120212200 is a `hidden beast` number, since 2 + 211 + 21 + 20 + 212 + 200 = 666.

22112120212200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 8957217 + ... + 11155983.

Almost surely, 2^{22112120212200} is an apocalyptic number.

22112120212200 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 22112120212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38386003793280).

22112120212200 is an abundant number, since it is smaller than the sum of its proper divisors (54659887374360).

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

22112120212200 is a wasteful number, since it uses less digits than its factorization.

22112120212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198977 (or 2198965 counting only the distinct ones).

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

Adding to 22112120212200 its reverse (221202121122), we get a palindrome (22333322333322).

The spelling of 22112120212200 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty million, two hundred twelve thousand, two hundred".