12122000022121 has 32 divisors (see below), whose sum is σ = 13427001262080. Its totient is φ = 10852099008000.

The previous prime is 12122000022113. The next prime is 12122000022163.

It is a happy number.

12122000022121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12122000022121 - 2³ = 12122000022113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122000022095 and 12122000022104.

It is not an unprimeable number, because it can be changed into a prime (12122000022421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177315096 + ... + 177383446.

It is an arithmetic number, because the mean of its divisors is an integer number (419593789440).

Almost surely, 2^{12122000022121} is an apocalyptic number.

12122000022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122000022121 is a deficient number, since it is larger than the sum of its proper divisors (1305001239959).

12122000022121 is a wasteful number, since it uses less digits than its factorization.

12122000022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69285.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 121220000 and 22121, that added together give a palindrome (121242121).

The spelling of 12122000022121 in words is "twelve trillion, one hundred twenty-two billion, twenty-two thousand, one hundred twenty-one".