12221011012221 has 24 divisors (see below), whose sum is σ = 19298587055904. Its totient is φ = 7390813198560.

The previous prime is 12221011012211. The next prime is 12221011012229.

12221011012221 is a `hidden beast` number, since 122 + 210 + 110 + 1 + 2 + 221 = 666.

12221011012221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12221011012221 - 2¹⁰ = 12221011011197 is a prime.

It is a super-2 number, since 2×12221011012221² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12221011012194 and 12221011012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221011012229) 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 23 ways as a sum of consecutive naturals, for example, 132121386 + ... + 132213851.

It is an arithmetic number, because the mean of its divisors is an integer number (804107793996).

Almost surely, 2^{12221011012221} is an apocalyptic number.

12221011012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221011012221 is a deficient number, since it is larger than the sum of its proper divisors (7077576043683).

12221011012221 is a wasteful number, since it uses less digits than its factorization.

12221011012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264335721 (or 264335718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1222101 and 1012221, that added together give a palindrome (2234322).

The spelling of 12221011012221 in words is "twelve trillion, two hundred twenty-one billion, eleven million, twelve thousand, two hundred twenty-one".