11121131112 has 128 divisors (see below), whose sum is σ = 34275225600. Its totient is φ = 2928215808.

The previous prime is 11121131041. The next prime is 11121131137. The reversal of 11121131112 is 21113112111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11121131091 and 11121131100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1435393 + ... + 1443119.

It is an arithmetic number, because the mean of its divisors is an integer number (267775200).

Almost surely, 2^11121131112 is an apocalyptic number.

11121131112 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 11121131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137612800).

11121131112 is an abundant number, since it is smaller than the sum of its proper divisors (23154094488).

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

11121131112 is a wasteful number, since it uses less digits than its factorization.

11121131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8415 (or 8411 counting only the distinct ones).

The product of its digits is 12, while the sum is 15.

Adding to 11121131112 its reverse (21113112111), we get a palindrome (32234243223).

The spelling of 11121131112 in words is "eleven billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred twelve".