12221300312221 has 16 divisors (see below), whose sum is σ = 16409018602368. Its totient is φ = 8790545678400.

The previous prime is 12221300312209. The next prime is 12221300312257.

12221300312221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12221300312221 - 2⁷ = 12221300312093 is a prime.

It is a super-2 number, since 2×12221300312221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221300312192 and 12221300312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221300318221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6104544610 + ... + 6104546611.

It is an arithmetic number, because the mean of its divisors is an integer number (1025563662648).

Almost surely, 2^{12221300312221} is an apocalyptic number.

12221300312221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221300312221 is a deficient number, since it is larger than the sum of its proper divisors (4187718290147).

12221300312221 is a wasteful number, since it uses less digits than its factorization.

12221300312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209091252.

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 12221300312221 by its sum of digits (22), we get a palindrome (268868606868862).

It can be divided in two parts, 12221300 and 312221, that added together give a palindrome (12533521).

The spelling of 12221300312221 in words is "twelve trillion, two hundred twenty-one billion, three hundred million, three hundred twelve thousand, two hundred twenty-one".