12037345361 has 2 divisors, whose sum is σ = 12037345362. Its totient is φ = 12037345360.

The previous prime is 12037345303. The next prime is 12037345379. The reversal of 12037345361 is 16354373021.

12037345361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9226755136 + 2810590225 = 96056^2 + 53015^2 .

It is a cyclic number.

It is not a de Polignac number, because 12037345361 - 2¹⁴ = 12037328977 is a prime.

It is not a weakly prime, because it can be changed into another prime (12037345561) 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, 6018672680 + 6018672681.

It is an arithmetic number, because the mean of its divisors is an integer number (6018672681).

Almost surely, 2^12037345361 is an apocalyptic number.

It is an amenable number.

12037345361 is a deficient number, since it is larger than the sum of its proper divisors (1).

12037345361 is an equidigital number, since it uses as much as digits as its factorization.

12037345361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 12037345361 in words is "twelve billion, thirty-seven million, three hundred forty-five thousand, three hundred sixty-one".