22112222111100 has 288 divisors, whose sum is σ = 77678653248000. Its totient is φ = 5351585241600.

The previous prime is 22112222110999. The next prime is 22112222111101. The reversal of 22112222111100 is 111122221122.

22112222111100 is a `hidden beast` number, since 221 + 1 + 222 + 211 + 1 + 10 + 0 = 666.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112222111101) 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, 17168832 + ... + 18411768.

It is an arithmetic number, because the mean of its divisors is an integer number (269717546000).

Almost surely, 2^{22112222111100} is an apocalyptic number.

22112222111100 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 22112222111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38839326624000).

22112222111100 is an abundant number, since it is smaller than the sum of its proper divisors (55566431136900).

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

22112222111100 is a wasteful number, since it uses less digits than its factorization.

22112222111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243570 (or 1243557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112222111100 its reverse (111122221122), we get a palindrome (22223344332222).

The spelling of 22112222111100 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-two million, one hundred eleven thousand, one hundred".