12211013133231 has 64 divisors (see below), whose sum is σ = 19037456386560. Its totient is φ = 6941686752000.

The previous prime is 12211013133199. The next prime is 12211013133257. The reversal of 12211013133231 is 13233131011221.

It is not a de Polignac number, because 12211013133231 - 2⁵ = 12211013133199 is a prime.

It is a super-2 number, since 2×12211013133231² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211013133271) 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 63 ways as a sum of consecutive naturals, for example, 6865771 + ... + 8459363.

It is an arithmetic number, because the mean of its divisors is an integer number (297460256040).

Almost surely, 2^{12211013133231} is an apocalyptic number.

12211013133231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211013133231 is a deficient number, since it is larger than the sum of its proper divisors (6826443253329).

12211013133231 is a wasteful number, since it uses less digits than its factorization.

12211013133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593749 (or 1593727 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12211013133231 its reverse (13233131011221), we get a palindrome (25444144144452).

The spelling of 12211013133231 in words is "twelve trillion, two hundred eleven billion, thirteen million, one hundred thirty-three thousand, two hundred thirty-one".