14123443121200 has 240 divisors, whose sum is σ = 40622479280640. Its totient is φ = 4613759631360.

The previous prime is 14123443121197. The next prime is 14123443121201. The reversal of 14123443121200 is 212134432141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (14123443121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16124131 + ... + 16977469.

It is an arithmetic number, because the mean of its divisors is an integer number (169260330336).

Almost surely, 2^{14123443121200} is an apocalyptic number.

14123443121200 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 14123443121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311239640320).

14123443121200 is an abundant number, since it is smaller than the sum of its proper divisors (26499036159440).

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

14123443121200 is a wasteful number, since it uses less digits than its factorization.

14123443121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853644 (or 853633 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14123443121200 its reverse (212134432141), we get a palindrome (14335577553341).

The spelling of 14123443121200 in words is "fourteen trillion, one hundred twenty-three billion, four hundred forty-three million, one hundred twenty-one thousand, two hundred".