12200001021221 has 16 divisors (see below), whose sum is σ = 13185689093808. Its totient is φ = 11221062451200.

The previous prime is 12200001021193. The next prime is 12200001021251. The reversal of 12200001021221 is 12212010000221.

It can be written as a sum of positive squares in 8 ways, for example, as 114741400225 + 12085259620996 = 338735^2 + 3476386^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200001021221 - 2¹⁸ = 12200000759077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200001021196 and 12200001021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200001021251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164790005 + ... + 164864021.

It is an arithmetic number, because the mean of its divisors is an integer number (824105568363).

Almost surely, 2^{12200001021221} is an apocalyptic number.

It is an amenable number.

12200001021221 is a deficient number, since it is larger than the sum of its proper divisors (985688072587).

12200001021221 is a wasteful number, since it uses less digits than its factorization.

12200001021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119432.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12200001021221 its reverse (12212010000221), we get a palindrome (24412011021442).

The spelling of 12200001021221 in words is "twelve trillion, two hundred billion, one million, twenty-one thousand, two hundred twenty-one".