12121003312331 has 16 divisors (see below), whose sum is σ = 12920590519200. Its totient is φ = 11331042255360.

The previous prime is 12121003312291. The next prime is 12121003312339. The reversal of 12121003312331 is 13321330012121.

It is a cyclic number.

It is not a de Polignac number, because 12121003312331 - 2⁴² = 7722956801227 is a prime.

It is a super-2 number, since 2×12121003312331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121003312297 and 12121003312306.

It is not an unprimeable number, because it can be changed into a prime (12121003312339) 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 15 ways as a sum of consecutive naturals, for example, 92305301 + ... + 92436521.

It is an arithmetic number, because the mean of its divisors is an integer number (807536907450).

Almost surely, 2^{12121003312331} is an apocalyptic number.

12121003312331 is a deficient number, since it is larger than the sum of its proper divisors (799587206869).

12121003312331 is a wasteful number, since it uses less digits than its factorization.

12121003312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167854.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12121003312331 its reverse (13321330012121), we get a palindrome (25442333324452).

The spelling of 12121003312331 in words is "twelve trillion, one hundred twenty-one billion, three million, three hundred twelve thousand, three hundred thirty-one".