13221201000000 has 784 divisors, whose sum is σ = 50796492296576. Its totient is φ = 2972160000000.

The previous prime is 13221200999849. The next prime is 13221201000041. The reversal of 13221201000000 is 10212231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 13221201000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1280994840 + ... + 1281005160.

Almost surely, 2^{13221201000000} is an apocalyptic number.

13221201000000 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 13221201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25398246148288).

13221201000000 is an abundant number, since it is smaller than the sum of its proper divisors (37575291296576).

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

13221201000000 is an frugal number, since it uses more digits than its factorization.

13221201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13221201000000 its reverse (10212231), we get a palindrome (13221211212231).

The spelling of 13221201000000 in words is "thirteen trillion, two hundred twenty-one billion, two hundred one million", and thus it is an aban number.