12122011022121 has 96 divisors (see below), whose sum is σ = 23510795712768. Its totient is φ = 5812396254720.

The previous prime is 12122011022089. The next prime is 12122011022137.

12122011022121 is a `hidden beast` number, since 1 + 212 + 201 + 10 + 221 + 21 = 666.

12122011022121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12122011022121 - 2⁵ = 12122011022089 is a prime.

It is a super-2 number, since 2×12122011022121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122011022094 and 12122011022103.

It is not an unprimeable number, because it can be changed into a prime (12122011022161) 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 95 ways as a sum of consecutive naturals, for example, 201744535 + ... + 201804611.

It is an arithmetic number, because the mean of its divisors is an integer number (244904122008).

Almost surely, 2^{12122011022121} is an apocalyptic number.

12122011022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122011022121 is a deficient number, since it is larger than the sum of its proper divisors (11388784690647).

12122011022121 is a wasteful number, since it uses less digits than its factorization.

12122011022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82511 (or 82508 counting only the distinct ones).

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

It can be divided in two parts, 1212201 and 1022121, that multiplied together give a square (1239016098321 = 1113111²).

The spelling of 12122011022121 in words is "twelve trillion, one hundred twenty-two billion, eleven million, twenty-two thousand, one hundred twenty-one".