12121300312121 has 32 divisors (see below), whose sum is σ = 16317246210048. Its totient is φ = 8695853317440.

The previous prime is 12121300312091. The next prime is 12121300312133.

12121300312121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12121300312121 - 2¹⁴ = 12121300295737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12121300312093 and 12121300312102.

It is not an unprimeable number, because it can be changed into a prime (12121300314121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15424961 + ... + 16191726.

It is an arithmetic number, because the mean of its divisors is an integer number (509913944064).

Almost surely, 2^{12121300312121} is an apocalyptic number.

12121300312121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121300312121 is a deficient number, since it is larger than the sum of its proper divisors (4195945897927).

12121300312121 is a wasteful number, since it uses less digits than its factorization.

12121300312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31617101.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 12121300 and 312121, that added together give a palindrome (12433421).

The spelling of 12121300312121 in words is "twelve trillion, one hundred twenty-one billion, three hundred million, three hundred twelve thousand, one hundred twenty-one".