12201021121122 has 12 divisors (see below), whose sum is σ = 26435545762470. Its totient is φ = 4067007040368.

The previous prime is 12201021121109. The next prime is 12201021121129. The reversal of 12201021121122 is 22112112010221.

12201021121122 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 211 + 211 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9149602578561 + 3051418542561 = 3024831^2 + 1746831^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 677834506729 = 12201021121122 / (1 + 2 + 2 + 0 + 1 + 0 + 2 + 1 + 1 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 12201021121095 and 12201021121104.

It is not an unprimeable number, because it can be changed into a prime (12201021121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 338917253347 + ... + 338917253382.

Almost surely, 2^{12201021121122} is an apocalyptic number.

12201021121122 is an abundant number, since it is smaller than the sum of its proper divisors (14234524641348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12201021121122 is a wasteful number, since it uses less digits than its factorization.

12201021121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677834506737 (or 677834506734 counting only the distinct ones).

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

Adding to 12201021121122 its reverse (22112112010221), we get a palindrome (34313133131343).

The spelling of 12201021121122 in words is "twelve trillion, two hundred one billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty-two".