11121114112 has 44 divisors (see below), whose sum is σ = 22267364256.
Its totient is φ = 5551554560.
The previous prime is 11121114101. The next prime is 11121114113. The reversal of 11121114112 is 21141112111.
Adding to 11121114112 its reverse (21141112111), we get a palindrome (32262226223).
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
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 an insolite number, because it is divisible by the sum (32) and by the product (256) of the squares of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11121114113) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 647913 + ... + 664855.
Almost surely, 211121114112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11121114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11133682128).
11121114112 is an abundant number, since it is smaller than the sum of its proper divisors (11146250144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11121114112 is an equidigital number, since it uses as much as digits as its factorization.
11121114112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17604 (or 17586 counting only the distinct ones).
The product of its digits is 16, while the sum is 16.
The spelling of 11121114112 in words is "eleven billion, one hundred twenty-one million, one hundred fourteen thousand, one hundred twelve".