312400129 has 2 divisors, whose sum is σ = 312400130. Its totient is φ = 312400128.

The previous prime is 312400097. The next prime is 312400181. The reversal of 312400129 is 921004213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247999504 + 64400625 = 15748^2 + 8025^2 .

It is an emirp because it is prime and its reverse (921004213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312400129 - 2⁵ = 312400097 is a prime.

It is not a weakly prime, because it can be changed into another prime (312400189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156200064 + 156200065.

It is an arithmetic number, because the mean of its divisors is an integer number (156200065).

Almost surely, 2^312400129 is an apocalyptic number.

It is an amenable number.

312400129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312400129 is an equidigital number, since it uses as much as digits as its factorization.

312400129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 312400129 is about 17674.8445254831. The cubic root of 312400129 is about 678.5321053524.

The spelling of 312400129 in words is "three hundred twelve million, four hundred thousand, one hundred twenty-nine".