22202222112000 has 864 divisors, whose sum is σ = 91832143253760. Its totient is φ = 5045380300800.

The previous prime is 22202222111989. The next prime is 22202222112001. The reversal of 22202222112000 is 21122220222.

22202222112000 is a `hidden beast` number, since 2 + 220 + 22 + 221 + 1 + 200 + 0 = 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 (22202222112001) 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, 348736171 + ... + 348799829.

It is an arithmetic number, because the mean of its divisors is an integer number (106287202840).

Almost surely, 2^{22202222112000} is an apocalyptic number.

22202222112000 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 22202222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45916071626880).

22202222112000 is an abundant number, since it is smaller than the sum of its proper divisors (69629921141760).

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

22202222112000 is a wasteful number, since it uses less digits than its factorization.

22202222112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63876 (or 63849 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22202222112000 its reverse (21122220222), we get a palindrome (22223344332222).

The spelling of 22202222112000 in words is "twenty-two trillion, two hundred two billion, two hundred twenty-two million, one hundred twelve thousand".