22112100111000 has 512 divisors, whose sum is σ = 72535896576000. Its totient is φ = 5597514137600.

The previous prime is 22112100110993. The next prime is 22112100111007. The reversal of 22112100111000 is 11100121122.

It is an interprime number because it is at equal distance from previous prime (22112100110993) and next prime (22112100111007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112100111007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6103255189 + ... + 6103258811.

It is an arithmetic number, because the mean of its divisors is an integer number (141671673000).

Almost surely, 2^{22112100111000} is an apocalyptic number.

22112100111000 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 22112100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36267948288000).

22112100111000 is an abundant number, since it is smaller than the sum of its proper divisors (50423796465000).

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

22112100111000 is a wasteful number, since it uses less digits than its factorization.

22112100111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22112100111000 its reverse (11100121122), we get a palindrome (22123200232122).

The spelling of 22112100111000 in words is "twenty-two trillion, one hundred twelve billion, one hundred million, one hundred eleven thousand".