12121411412121 has 64 divisors (see below), whose sum is σ = 18746173668096. Its totient is φ = 6885380505600.

The previous prime is 12121411412119. The next prime is 12121411412141.

12121411412121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12121411412121 - 2¹ = 12121411412119 is a prime.

It is a super-2 number, since 2×12121411412121² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12121411412091 and 12121411412100.

It is not an unprimeable number, because it can be changed into a prime (12121411412141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131369815 + ... + 131462051.

It is an arithmetic number, because the mean of its divisors is an integer number (292908963564).

Almost surely, 2^{12121411412121} is an apocalyptic number.

12121411412121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121411412121 is a deficient number, since it is larger than the sum of its proper divisors (6624762255975).

12121411412121 is a wasteful number, since it uses less digits than its factorization.

12121411412121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93242.

The product of its digits is 256, while the sum is 24.

It can be divided in two parts, 1212141 and 1412121, that added together give a palindrome (2624262).

The spelling of 12121411412121 in words is "twelve trillion, one hundred twenty-one billion, four hundred eleven million, four hundred twelve thousand, one hundred twenty-one".