12220122121209 has 24 divisors (see below), whose sum is σ = 18260584547400. Its totient is φ = 7865553507840.

The previous prime is 12220122121159. The next prime is 12220122121243. The reversal of 12220122121209 is 90212122102221.

12220122121209 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 221 + 212 + 0 + 9 = 666.

12220122121209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7158648069225 + 5061474051984 = 2675565^2 + 2249772^2 .

It is not a de Polignac number, because 12220122121209 - 2²⁰ = 12220121072633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12220122141209) 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, 6885489 + ... + 8476449.

It is an arithmetic number, because the mean of its divisors is an integer number (760857689475).

Almost surely, 2^{12220122121209} is an apocalyptic number.

It is an amenable number.

12220122121209 is a deficient number, since it is larger than the sum of its proper divisors (6040462426191).

12220122121209 is a wasteful number, since it uses less digits than its factorization.

12220122121209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620425 (or 1620422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12220122121209 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred nine".