12140311304121 has 192 divisors, whose sum is σ = 22546395475968. Its totient is φ = 5607584640000.

The previous prime is 12140311304117. The next prime is 12140311304153.

12140311304121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12140311304121 - 2² = 12140311304117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12140311304091 and 12140311304100.

It is not an unprimeable number, because it can be changed into a prime (12140311300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1133437956 + ... + 1133448666.

It is an arithmetic number, because the mean of its divisors is an integer number (117429143104).

Almost surely, 2^{12140311304121} is an apocalyptic number.

12140311304121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12140311304121 is a deficient number, since it is larger than the sum of its proper divisors (10406084171847).

12140311304121 is a wasteful number, since it uses less digits than its factorization.

12140311304121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10984 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1214031 and 1304121, that added together give a palindrome (2518152).

The spelling of 12140311304121 in words is "twelve trillion, one hundred forty billion, three hundred eleven million, three hundred four thousand, one hundred twenty-one".