12129004801 has 2 divisors, whose sum is σ = 12129004802. Its totient is φ = 12129004800.

The previous prime is 12129004799. The next prime is 12129004819. The reversal of 12129004801 is 10840092121.

12129004801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11901719025 + 227285776 = 109095^2 + 15076^2 .

It is a cyclic number.

It is not a de Polignac number, because 12129004801 - 2¹ = 12129004799 is a prime.

It is a super-2 number, since 2×12129004801² (a number of 21 digits) contains 22 as substring.

Together with 12129004799, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12129004801.

It is not a weakly prime, because it can be changed into another prime (12129004201) 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, 6064502400 + 6064502401.

It is an arithmetic number, because the mean of its divisors is an integer number (6064502401).

Almost surely, 2^12129004801 is an apocalyptic number.

It is an amenable number.

12129004801 is a deficient number, since it is larger than the sum of its proper divisors (1).

12129004801 is an equidigital number, since it uses as much as digits as its factorization.

12129004801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 12129004801 its reverse (10840092121), we get a palindrome (22969096922).

The spelling of 12129004801 in words is "twelve billion, one hundred twenty-nine million, four thousand, eight hundred one".