12345300412121 has 2 divisors, whose sum is σ = 12345300412122. Its totient is φ = 12345300412120.

The previous prime is 12345300412031. The next prime is 12345300412129. The reversal of 12345300412121 is 12121400354321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12082151931721 + 263148480400 = 3475939^2 + 512980^2 .

It is a cyclic number.

It is not a de Polignac number, because 12345300412121 - 2²⁶ = 12345233303257 is a prime.

It is not a weakly prime, because it can be changed into another prime (12345300412129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6172650206060 + 6172650206061.

It is an arithmetic number, because the mean of its divisors is an integer number (6172650206061).

Almost surely, 2^{12345300412121} is an apocalyptic number.

It is an amenable number.

12345300412121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12345300412121 is an equidigital number, since it uses as much as digits as its factorization.

12345300412121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 12345300412121 its reverse (12121400354321), we get a palindrome (24466700766442).

The spelling of 12345300412121 in words is "twelve trillion, three hundred forty-five billion, three hundred million, four hundred twelve thousand, one hundred twenty-one".