14224041312200 has 192 divisors, whose sum is σ = 33528664653120. Its totient is φ = 5611349120000.

The previous prime is 14224041312181. The next prime is 14224041312281. The reversal of 14224041312200 is 221314042241.

It is a self number, because there is not a number n which added to its sum of digits gives 14224041312200.

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, 8689089782 + ... + 8689091418.

It is an arithmetic number, because the mean of its divisors is an integer number (174628461735).

Almost surely, 2^{14224041312200} is an apocalyptic number.

14224041312200 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 14224041312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764332326560).

14224041312200 is an abundant number, since it is smaller than the sum of its proper divisors (19304623340920).

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

14224041312200 is a wasteful number, since it uses less digits than its factorization.

14224041312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14224041312200 its reverse (221314042241), we get a palindrome (14445355354441).

The spelling of 14224041312200 in words is "fourteen trillion, two hundred twenty-four billion, forty-one million, three hundred twelve thousand, two hundred".