13442112 has 70 divisors (see below), whose sum is σ = 39861998. Its totient is φ = 4478976.

The previous prime is 13442111. The next prime is 13442113. The reversal of 13442112 is 21124431.

It is an interprime number because it is at equal distance from previous prime (13442111) and next prime (13442113).

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 1498176 = 3456^2 + 1224^2 .

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.

13442112 is a modest number, since divided by 2112 gives 1344 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13442111) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3888 + ... + 6480.

Almost surely, 2^13442112 is an apocalyptic number.

13442112 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 13442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19930999).

13442112 is an abundant number, since it is smaller than the sum of its proper divisors (26419886).

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

13442112 is an equidigital number, since it uses as much as digits as its factorization.

13442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2598 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13442112 is about 3666.3485922645. The cubic root of 13442112 is about 237.7693313899.

Adding to 13442112 its reverse (21124431), we get a palindrome (34566543).

The spelling of 13442112 in words is "thirteen million, four hundred forty-two thousand, one hundred twelve".