11200222111122 has 192 divisors, whose sum is σ = 27830390455296. Its totient is φ = 3224396004480.

The previous prime is 11200222111109. The next prime is 11200222111139. The reversal of 11200222111122 is 22111122200211.

11200222111122 is a `hidden beast` number, since 11 + 200 + 222 + 111 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200222111095 and 11200222111104.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1771343053 + ... + 1771349375.

It is an arithmetic number, because the mean of its divisors is an integer number (144949950288).

Almost surely, 2^{11200222111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200222111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915195227648).

11200222111122 is an abundant number, since it is smaller than the sum of its proper divisors (16630168344174).

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

11200222111122 is a wasteful number, since it uses less digits than its factorization.

11200222111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12042 counting only the distinct ones).

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

Adding to 11200222111122 its reverse (22111122200211), we get a palindrome (33311344311333).

The spelling of 11200222111122 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-two".