14126112 has 288 divisors, whose sum is σ = 55036800. Its totient is φ = 3386880.

The previous prime is 14126107. The next prime is 14126129. The reversal of 14126112 is 21162141.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086618 + ... + 1086630.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 2^14126112 is an apocalyptic number.

14126112 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 14126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

14126112 is an abundant number, since it is smaller than the sum of its proper divisors (40910688).

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

14126112 is a wasteful number, since it uses less digits than its factorization.

14126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 14126112 is about 3758.4720299611. The cubic root of 14126112 is about 241.7357496251.

Adding to 14126112 its reverse (21162141), we get a palindrome (35288253).

The spelling of 14126112 in words is "fourteen million, one hundred twenty-six thousand, one hundred twelve".