14124134112 has 192 divisors, whose sum is σ = 41164236288. Its totient is φ = 4204800000.

The previous prime is 14124134039. The next prime is 14124134113. The reversal of 14124134112 is 21143142141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124134113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16104618 + ... + 16105494.

It is an arithmetic number, because the mean of its divisors is an integer number (214397064).

Almost surely, 2^14124134112 is an apocalyptic number.

14124134112 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 14124134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582118144).

14124134112 is an abundant number, since it is smaller than the sum of its proper divisors (27040102176).

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

14124134112 is a wasteful number, since it uses less digits than its factorization.

14124134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 14124134112 its reverse (21143142141), we get a palindrome (35267276253).

The spelling of 14124134112 in words is "fourteen billion, one hundred twenty-four million, one hundred thirty-four thousand, one hundred twelve".