11000222112222 has 224 divisors, whose sum is σ = 29988678424320. Its totient is φ = 2954767870080.

The previous prime is 11000222112221. The next prime is 11000222112223. The reversal of 11000222112222 is 22221122200011.

It is a happy number.

11000222112222 is a `hidden beast` number, since 110 + 0 + 0 + 222 + 112 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (11000222112221) and next prime (11000222112223).

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 junction number, because it is equal to n+sod(n) for n = 11000222112195 and 11000222112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000222112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25186218 + ... + 25619250.

It is an arithmetic number, because the mean of its divisors is an integer number (133878028680).

Almost surely, 2^{11000222112222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000222112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994339212160).

11000222112222 is an abundant number, since it is smaller than the sum of its proper divisors (18988456312098).

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

11000222112222 is a wasteful number, since it uses less digits than its factorization.

11000222112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433210 (or 433195 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11000222112222 its reverse (22221122200011), we get a palindrome (33221344312233).

The spelling of 11000222112222 in words is "eleven trillion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty-two".