12122110121121 has 64 divisors (see below), whose sum is σ = 24112355850240. Its totient is φ = 5812800045120.

The previous prime is 12122110121101. The next prime is 12122110121141. The reversal of 12122110121121 is 12112101122121.

It is a happy number.

12122110121121 is a `hidden beast` number, since 1 + 212 + 211 + 0 + 121 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (12122110121101) and next prime (12122110121141).

It is not a de Polignac number, because 12122110121121 - 2¹⁷ = 12122109990049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122110121094 and 12122110121103.

It is not an unprimeable number, because it can be changed into a prime (12122110121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224232235 + ... + 224286288.

It is an arithmetic number, because the mean of its divisors is an integer number (376755560160).

Almost surely, 2^{12122110121121} is an apocalyptic number.

12122110121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122110121121 is a deficient number, since it is larger than the sum of its proper divisors (11990245729119).

12122110121121 is a wasteful number, since it uses less digits than its factorization.

12122110121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448518563 (or 448518557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12122110121121 its reverse (12112101122121), we get a palindrome (24234211243242).

The spelling of 12122110121121 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-one".