12842112 has 64 divisors (see below), whose sum is σ = 34810560. Its totient is φ = 4193280.

The previous prime is 12842107. The next prime is 12842173. The reversal of 12842112 is 21124821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20037 + ... + 20667.

It is an arithmetic number, because the mean of its divisors is an integer number (543915).

Almost surely, 2^12842112 is an apocalyptic number.

12842112 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 12842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17405280).

12842112 is an abundant number, since it is smaller than the sum of its proper divisors (21968448).

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

12842112 is an equidigital number, since it uses as much as digits as its factorization.

12842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 689 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 12842112 is about 3583.5892621784. The cubic root of 12842112 is about 234.1776720609.

Adding to 12842112 its reverse (21124821), we get a palindrome (33966933).

The spelling of 12842112 in words is "twelve million, eight hundred forty-two thousand, one hundred twelve".