12201211210221 has 24 divisors (see below), whose sum is σ = 19442175180480. Its totient is φ = 7311587236800.

The previous prime is 12201211210193. The next prime is 12201211210241.

12201211210221 is a `hidden beast` number, since 1 + 2 + 20 + 1 + 211 + 210 + 221 = 666.

12201211210221 is nontrivially palindromic in base 10.

12201211210221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12201211210221 - 2⁷ = 12201211210093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201211210194 and 12201211210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201211210241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692376345 + ... + 692393966.

It is an arithmetic number, because the mean of its divisors is an integer number (810090632520).

Almost surely, 2^{12201211210221} is an apocalyptic number.

12201211210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201211210221 is a deficient number, since it is larger than the sum of its proper divisors (7240963970259).

12201211210221 is a wasteful number, since it uses less digits than its factorization.

12201211210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384770417 (or 1384770414 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, 1220121 and 1210221, that added together give a palindrome (2430342).

The spelling of 12201211210221 in words is "twelve trillion, two hundred one billion, two hundred eleven million, two hundred ten thousand, two hundred twenty-one".