112111121112 has 64 divisors (see below), whose sum is σ = 290603808000. Its totient is φ = 35999451264.

The previous prime is 112111121077. The next prime is 112111121113. The reversal of 112111121112 is 211121111211.

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 = 112111121091 and 112111121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111121113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122083 + ... + 489005.

It is an arithmetic number, because the mean of its divisors is an integer number (4540684500).

Almost surely, 2^112111121112 is an apocalyptic number.

112111121112 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 112111121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145301904000).

112111121112 is an abundant number, since it is smaller than the sum of its proper divisors (178492686888).

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

112111121112 is a wasteful number, since it uses less digits than its factorization.

112111121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367400 (or 367396 counting only the distinct ones).

The product of its digits is 8, while the sum is 15.

Adding to 112111121112 its reverse (211121111211), we get a palindrome (323232232323).

Subtracting 112111121112 from its reverse (211121111211), we obtain a palindrome (99009990099).

The spelling of 112111121112 in words is "one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twelve".