12201213112321 has 64 divisors (see below), whose sum is σ = 13041484600320. Its totient is φ = 11401863782400.

The previous prime is 12201213112289. The next prime is 12201213112339. The reversal of 12201213112321 is 12321131210221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12201213112321 - 2⁵ = 12201213112289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201213112292 and 12201213112301.

It is not an unprimeable number, because it can be changed into a prime (12201216112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12237926395 + ... + 12237927391.

It is an arithmetic number, because the mean of its divisors is an integer number (203773196880).

Almost surely, 2^{12201213112321} is an apocalyptic number.

It is an amenable number.

12201213112321 is a deficient number, since it is larger than the sum of its proper divisors (840271487999).

12201213112321 is a wasteful number, since it uses less digits than its factorization.

12201213112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12201213112321 its reverse (12321131210221), we get a palindrome (24522344322542).

The spelling of 12201213112321 in words is "twelve trillion, two hundred one billion, two hundred thirteen million, one hundred twelve thousand, three hundred twenty-one".