12008800129 has 2 divisors, whose sum is σ = 12008800130. Its totient is φ = 12008800128.

The previous prime is 12008800121. The next prime is 12008800157. The reversal of 12008800129 is 92100880021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11901719025 + 107081104 = 109095^2 + 10348^2 .

It is a cyclic number.

It is not a de Polignac number, because 12008800129 - 2³ = 12008800121 is a prime.

It is a super-3 number, since 3×12008800129³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12008800129.

It is not a weakly prime, because it can be changed into another prime (12008800121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6004400064 + 6004400065.

It is an arithmetic number, because the mean of its divisors is an integer number (6004400065).

Almost surely, 2^12008800129 is an apocalyptic number.

It is an amenable number.

12008800129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12008800129 is an equidigital number, since it uses as much as digits as its factorization.

12008800129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 31.

It can be divided in two parts, 1200880012 and 9, that added together give a palindrome (1200880021).

The spelling of 12008800129 in words is "twelve billion, eight million, eight hundred thousand, one hundred twenty-nine".