422112 has 24 divisors (see below), whose sum is σ = 1108296. Its totient is φ = 140672.

The previous prime is 422111. The next prime is 422113. The reversal of 422112 is 211224.

It is an interprime number because it is at equal distance from previous prime (422111) and next prime (422113).

It is a tau number, because it is divible by the number of its divisors (24).

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 zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422111) 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, 2103 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (46179).

2⁴²²¹¹² is an apocalyptic number.

It is an amenable number.

422112 is an abundant number, since it is smaller than the sum of its proper divisors (686184).

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

422112 is a wasteful number, since it uses less digits than its factorization.

422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4402 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 422112 is about 649.7014699075. The cubic root of 422112 is about 75.0140418153.

Adding to 422112 its reverse (211224), we get a palindrome (633336).

The spelling of 422112 in words is "four hundred twenty-two thousand, one hundred twelve", and thus it is an iban number.