14222410003200 has 432 divisors, whose sum is σ = 53705217646080. Its totient is φ = 3247017000960.

The previous prime is 14222410003187. The next prime is 14222410003211. The reversal of 14222410003200 is 230001422241.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 115119061 + ... + 115242539.

It is an arithmetic number, because the mean of its divisors is an integer number (124317633440).

Almost surely, 2^{14222410003200} is an apocalyptic number.

14222410003200 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 14222410003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26852608823040).

14222410003200 is an abundant number, since it is smaller than the sum of its proper divisors (39482807642880).

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

14222410003200 is a wasteful number, since it uses less digits than its factorization.

14222410003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124372 (or 124353 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14222410003200 its reverse (230001422241), we get a palindrome (14452411425441).

The spelling of 14222410003200 in words is "fourteen trillion, two hundred twenty-two billion, four hundred ten million, three thousand, two hundred".