11001112122 has 144 divisors (see below), whose sum is σ = 29931128640. Its totient is φ = 2637423360.

The previous prime is 11001112117. The next prime is 11001112151. The reversal of 11001112122 is 22121110011.

It is a junction number, because it is equal to n+sod(n) for n = 11001112098 and 11001112107.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 852454 + ... + 865262.

It is an arithmetic number, because the mean of its divisors is an integer number (207855060).

Almost surely, 2^11001112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965564320).

11001112122 is an abundant number, since it is smaller than the sum of its proper divisors (18930016518).

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

11001112122 is a wasteful number, since it uses less digits than its factorization.

11001112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12869 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11001112122 its reverse (22121110011), we get a palindrome (33122222133).

The spelling of 11001112122 in words is "eleven billion, one million, one hundred twelve thousand, one hundred twenty-two".