13323221221200 has 240 divisors, whose sum is σ = 46584225847296. Its totient is φ = 3228094246400.

The previous prime is 13323221221187. The next prime is 13323221221229. The reversal of 13323221221200 is 212212232331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 23786767 + ... + 24340433.

Almost surely, 2^{13323221221200} is an apocalyptic number.

13323221221200 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 13323221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23292112923648).

13323221221200 is an abundant number, since it is smaller than the sum of its proper divisors (33261004626096).

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

13323221221200 is a wasteful number, since it uses less digits than its factorization.

13323221221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555522 (or 555511 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13323221221200 its reverse (212212232331), we get a palindrome (13535433453531).

The spelling of 13323221221200 in words is "thirteen trillion, three hundred twenty-three billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".