11112192 has 216 divisors, whose sum is σ = 40176864. Its totient is φ = 2875392.

The previous prime is 11112161. The next prime is 11112193. The reversal of 11112192 is 29121111.

It is a happy number.

It is a super-2 number, since 2×11112192² = 246961622089728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (11112193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209638 + ... + 209690.

It is an arithmetic number, because the mean of its divisors is an integer number (186004).

Almost surely, 2^11112192 is an apocalyptic number.

11112192 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 11112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

11112192 is an abundant number, since it is smaller than the sum of its proper divisors (29064672).

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

11112192 is a wasteful number, since it uses less digits than its factorization.

11112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

The square root of 11112192 is about 3333.4954627238. The cubic root of 11112192 is about 223.1515522858.

The spelling of 11112192 in words is "eleven million, one hundred twelve thousand, one hundred ninety-two".