14220112000 has 256 divisors, whose sum is σ = 36990626400. Its totient is φ = 5431296000.

The previous prime is 14220111949. The next prime is 14220112007. The reversal of 14220112000 is 21102241.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 263997504 + 13956114496 = 16248^2 + 118136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220112007) 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, 34767796 + ... + 34768204.

Almost surely, 2^14220112000 is an apocalyptic number.

14220112000 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 14220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495313200).

14220112000 is an abundant number, since it is smaller than the sum of its proper divisors (22770514400).

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

14220112000 is an equidigital number, since it uses as much as digits as its factorization.

14220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 14220112000 its reverse (21102241), we get a palindrome (14241214241).

The spelling of 14220112000 in words is "fourteen billion, two hundred twenty million, one hundred twelve thousand".