13144022201200 has 180 divisors, whose sum is σ = 34699131298728. Its totient is φ = 4745227814400.

The previous prime is 13144022201179. The next prime is 13144022201203. The reversal of 13144022201200 is 210222044131.

13144022201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144022201203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84935094 + ... + 85089706.

Almost surely, 2^{13144022201200} is an apocalyptic number.

13144022201200 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 13144022201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349565649364).

13144022201200 is an abundant number, since it is smaller than the sum of its proper divisors (21555109097528).

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

13144022201200 is a wasteful number, since it uses less digits than its factorization.

13144022201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154920 (or 154770 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13144022201200 its reverse (210222044131), we get a palindrome (13354244245331).

The spelling of 13144022201200 in words is "thirteen trillion, one hundred forty-four billion, twenty-two million, two hundred one thousand, two hundred".