22011122100000 has 864 divisors, whose sum is σ = 80124296091840. Its totient is φ = 5286124800000.

The previous prime is 22011122099977. The next prime is 22011122100001. The reversal of 22011122100000 is 122111022.

It is a super-2 number, since 2×22011122100000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22011122100001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3956697219 + ... + 3956702781.

It is an arithmetic number, because the mean of its divisors is an integer number (92736453810).

Almost surely, 2^{22011122100000} is an apocalyptic number.

22011122100000 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 22011122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40062148045920).

22011122100000 is an abundant number, since it is smaller than the sum of its proper divisors (58113173991840).

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

22011122100000 is a wasteful number, since it uses less digits than its factorization.

22011122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22011122100000 its reverse (122111022), we get a palindrome (22011244211022).

It can be divided in two parts, 22011122 and 100000, that added together give a palindrome (22111122).

The spelling of 22011122100000 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred thousand".