12200221012221 has 24 divisors (see below), whose sum is σ = 19744174223904. Its totient is φ = 7194233518560.

The previous prime is 12200221012153. The next prime is 12200221012267. The reversal of 12200221012221 is 12221012200221.

It is a happy number.

12200221012221 is a `hidden beast` number, since 1 + 220 + 0 + 2 + 210 + 12 + 221 = 666.

It is not a de Polignac number, because 12200221012221 - 2²⁵ = 12200187457789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200221012194 and 12200221012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200221012321) 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, 1665328171 + ... + 1665335496.

It is an arithmetic number, because the mean of its divisors is an integer number (822673925996).

Almost surely, 2^{12200221012221} is an apocalyptic number.

12200221012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200221012221 is a deficient number, since it is larger than the sum of its proper divisors (7543953211683).

12200221012221 is a wasteful number, since it uses less digits than its factorization.

12200221012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330663721 (or 3330663718 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200221012221 its reverse (12221012200221), we get a palindrome (24421233212442).

The spelling of 12200221012221 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".