13221223201200 has 240 divisors, whose sum is σ = 48406610278656. Its totient is φ = 3021722803200.

The previous prime is 13221223201181. The next prime is 13221223201237. The reversal of 13221223201200 is 210232212231.

13221223201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (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, 102440710 + ... + 102569690.

Almost surely, 2^{13221223201200} is an apocalyptic number.

13221223201200 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 13221223201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203305139328).

13221223201200 is an abundant number, since it is smaller than the sum of its proper divisors (35185387077456).

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

13221223201200 is a wasteful number, since it uses less digits than its factorization.

13221223201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141212 (or 141201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13221223201200 its reverse (210232212231), we get a palindrome (13431455413431).

The spelling of 13221223201200 in words is "thirteen trillion, two hundred twenty-one billion, two hundred twenty-three million, two hundred one thousand, two hundred".