12201012121221 has 128 divisors (see below), whose sum is σ = 22587715584000. Its totient is φ = 6323596231680.

The previous prime is 12201012121201. The next prime is 12201012121229. The reversal of 12201012121221 is 12212121010221.

12201012121221 is a `hidden beast` number, since 1 + 220 + 10 + 1 + 212 + 1 + 221 = 666.

12201012121221 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 12201012121221 - 2⁷ = 12201012121093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201012121194 and 12201012121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201012121229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3216716301 + ... + 3216720093.

It is an arithmetic number, because the mean of its divisors is an integer number (176466528000).

Almost surely, 2^{12201012121221} is an apocalyptic number.

12201012121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201012121221 is a deficient number, since it is larger than the sum of its proper divisors (10386703462779).

12201012121221 is a wasteful number, since it uses less digits than its factorization.

12201012121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6970 counting only the distinct ones).

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

Adding to 12201012121221 its reverse (12212121010221), we get a palindrome (24413133131442).

The spelling of 12201012121221 in words is "twelve trillion, two hundred one billion, twelve million, one hundred twenty-one thousand, two hundred twenty-one".