22111200000000 has 1296 divisors, whose sum is σ = 82971695799720. Its totient is φ = 5667840000000.

The previous prime is 22111199999989. The next prime is 22111200000007. The reversal of 22111200000000 is 211122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111200000007) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 266399999959 + ... + 266400000041.

Almost surely, 2^{22111200000000} is an apocalyptic number.

22111200000000 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 22111200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41485847899860).

22111200000000 is an abundant number, since it is smaller than the sum of its proper divisors (60860495799720).

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

22111200000000 is an frugal number, since it uses more digits than its factorization.

22111200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22111200000000 its reverse (211122), we get a palindrome (22111200211122).

The spelling of 22111200000000 in words is "twenty-two trillion, one hundred eleven billion, two hundred million", and thus it is an aban number.