11011112112 has 320 divisors, whose sum is σ = 38587530240. Its totient is φ = 2612736000.

The previous prime is 11011112071. The next prime is 11011112113. The reversal of 11011112112 is 21121111011.

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 (11011112113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4851714 + ... + 4853982.

It is an arithmetic number, because the mean of its divisors is an integer number (120586032).

Almost surely, 2^11011112112 is an apocalyptic number.

11011112112 is a gapful number since it is divisible by the number (12) 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 11011112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19293765120).

11011112112 is an abundant number, since it is smaller than the sum of its proper divisors (27576418128).

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

11011112112 is a wasteful number, since it uses less digits than its factorization.

11011112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

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

Adding to 11011112112 its reverse (21121111011), we get a palindrome (32132223123).

The spelling of 11011112112 in words is "eleven billion, eleven million, one hundred twelve thousand, one hundred twelve".