12200022122121 has 6 divisors (see below), whose sum is σ = 17622254176410. Its totient is φ = 8133348081408.

The previous prime is 12200022122111. The next prime is 12200022122131. The reversal of 12200022122121 is 12122122000221.

It is a happy number.

12200022122121 is a `hidden beast` number, since 1 + 2 + 200 + 0 + 221 + 221 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (12200022122111) and next prime (12200022122131).

It can be written as a sum of positive squares in only one way, i.e., 8878373715600 + 3321648406521 = 2979660^2 + 1822539^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12200022122121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200022122094 and 12200022122103.

It is not an unprimeable number, because it can be changed into a prime (12200022122111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 677779006776 + ... + 677779006793.

It is an arithmetic number, because the mean of its divisors is an integer number (2937042362735).

Almost surely, 2^{12200022122121} is an apocalyptic number.

It is an amenable number.

12200022122121 is a deficient number, since it is larger than the sum of its proper divisors (5422232054289).

12200022122121 is a wasteful number, since it uses less digits than its factorization.

12200022122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355558013575 (or 1355558013572 counting only the distinct ones).

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

Adding to 12200022122121 its reverse (12122122000221), we get a palindrome (24322144122342).

The spelling of 12200022122121 in words is "twelve trillion, two hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".