14112241000 has 512 divisors, whose sum is σ = 41607820800. Its totient is φ = 4408320000.

The previous prime is 14112240997. The next prime is 14112241001. The reversal of 14112241000 is 14221141.

It is a happy number.

14112241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14112241001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170026959 + ... + 170027041.

It is an arithmetic number, because the mean of its divisors is an integer number (81265275).

Almost surely, 2^14112241000 is an apocalyptic number.

14112241000 is a gapful number since it is divisible by the number (10) 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 14112241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803910400).

14112241000 is an abundant number, since it is smaller than the sum of its proper divisors (27495579800).

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

14112241000 is a wasteful number, since it uses less digits than its factorization.

14112241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14112241000 its reverse (14221141), we get a palindrome (14126462141).

The spelling of 14112241000 in words is "fourteen billion, one hundred twelve million, two hundred forty-one thousand".