11312112 has 80 divisors (see below), whose sum is σ = 33783552. Its totient is φ = 3194880.

The previous prime is 11312111. The next prime is 11312177. The reversal of 11312112 is 21121311.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43888 + ... + 44144.

Almost surely, 2^11312112 is an apocalyptic number.

11312112 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 11312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891776).

11312112 is an abundant number, since it is smaller than the sum of its proper divisors (22471440).

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

11312112 is a wasteful number, since it uses less digits than its factorization.

11312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

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

The square root of 11312112 is about 3363.3483316481. The cubic root of 11312112 is about 224.4818496478.

Adding to 11312112 its reverse (21121311), we get a palindrome (32433423).

The spelling of 11312112 in words is "eleven million, three hundred twelve thousand, one hundred twelve".