12302400031121 has 2 divisors, whose sum is σ = 12302400031122. Its totient is φ = 12302400031120.

The previous prime is 12302400031099. The next prime is 12302400031133. The reversal of 12302400031121 is 12113000420321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9935230080400 + 2367169950721 = 3152020^2 + 1538561^2 .

It is a cyclic number.

It is not a de Polignac number, because 12302400031121 - 2⁶ = 12302400031057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12302400031093 and 12302400031102.

It is not a weakly prime, because it can be changed into another prime (12302400031151) 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 as a sum of consecutive naturals, namely, 6151200015560 + 6151200015561.

It is an arithmetic number, because the mean of its divisors is an integer number (6151200015561).

Almost surely, 2^{12302400031121} is an apocalyptic number.

It is an amenable number.

12302400031121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12302400031121 is an equidigital number, since it uses as much as digits as its factorization.

12302400031121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12302400031121 its reverse (12113000420321), we get a palindrome (24415400451442).

The spelling of 12302400031121 in words is "twelve trillion, three hundred two billion, four hundred million, thirty-one thousand, one hundred twenty-one".