2112192 has 84 divisors (see below), whose sum is σ = 6405880. Its totient is φ = 663552.

The previous prime is 2112191. The next prime is 2112193. The reversal of 2112192 is 2912112.

It is an interprime number because it is at equal distance from previous prime (2112191) and next prime (2112193).

It is a super-2 number, since 2×2112192² = 8922710089728, 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 not an unprimeable number, because it can be changed into a prime (2112191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10848 + ... + 11040.

2^2112192 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 2112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202940).

2112192 is an abundant number, since it is smaller than the sum of its proper divisors (4293688).

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

2112192 is a wasteful number, since it uses less digits than its factorization.

2112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 2112192 is about 1453.3382262915. The cubic root of 2112192 is about 128.3052610024.

It can be divided in two parts, 2112 and 192, that multiplied together give a palindrome (405504).

The spelling of 2112192 in words is "two million, one hundred twelve thousand, one hundred ninety-two".