13444243221200 has 240 divisors, whose sum is σ = 36382341857280. Its totient is φ = 4729869504000.

The previous prime is 13444243221187. The next prime is 13444243221221. The reversal of 13444243221200 is 212234244431.

It is a happy number.

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, 632748977 + ... + 632770223.

It is an arithmetic number, because the mean of its divisors is an integer number (151593091072).

Almost surely, 2^{13444243221200} is an apocalyptic number.

13444243221200 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 13444243221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18191170928640).

13444243221200 is an abundant number, since it is smaller than the sum of its proper divisors (22938098636080).

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

13444243221200 is a wasteful number, since it uses less digits than its factorization.

13444243221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25946 (or 25935 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 13444243221200 its reverse (212234244431), we get a palindrome (13656477465631).

The spelling of 13444243221200 in words is "thirteen trillion, four hundred forty-four billion, two hundred forty-three million, two hundred twenty-one thousand, two hundred".