11000011111122 has 256 divisors, whose sum is σ = 25037856760320. Its totient is φ = 3193476710400.

The previous prime is 11000011111121. The next prime is 11000011111189. The reversal of 11000011111122 is 22111111000011.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11000011111098 and 11000011111107.

It is not an unprimeable number, because it can be changed into a prime (11000011111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9220461358 + ... + 9220462550.

It is an arithmetic number, because the mean of its divisors is an integer number (97804127970).

Almost surely, 2^{11000011111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000011111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518928380160).

11000011111122 is an abundant number, since it is smaller than the sum of its proper divisors (14037845649198).

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

11000011111122 is a wasteful number, since it uses less digits than its factorization.

11000011111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11000011111122 its reverse (22111111000011), we get a palindrome (33111122111133).

The spelling of 11000011111122 in words is "eleven trillion, eleven million, one hundred eleven thousand, one hundred twenty-two".