22200211122012 has 192 divisors, whose sum is σ = 71764515271680. Its totient is φ = 5765785804800.

The previous prime is 22200211121993. The next prime is 22200211122017. The reversal of 22200211122012 is 21022111200222.

It is a happy number.

22200211122012 is a `hidden beast` number, since 2 + 220 + 0 + 211 + 1 + 220 + 12 = 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 (22200211122017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100488312 + ... + 100708992.

It is an arithmetic number, because the mean of its divisors is an integer number (373773517040).

Almost surely, 2^{22200211122012} is an apocalyptic number.

22200211122012 is a gapful number since it is divisible by the number (22) 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 22200211122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35882257635840).

22200211122012 is an abundant number, since it is smaller than the sum of its proper divisors (49564304149668).

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

22200211122012 is a wasteful number, since it uses less digits than its factorization.

22200211122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232809 (or 232801 counting only the distinct ones).

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

Adding to 22200211122012 its reverse (21022111200222), we get a palindrome (43222322322234).

The spelling of 22200211122012 in words is "twenty-two trillion, two hundred billion, two hundred eleven million, one hundred twenty-two thousand, twelve".