312022129 has 2 divisors, whose sum is σ = 312022130. Its totient is φ = 312022128.

The previous prime is 312022127. The next prime is 312022133. The reversal of 312022129 is 921220213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311593104 + 429025 = 17652^2 + 655^2 .

It is an emirp because it is prime and its reverse (921220213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312022129 - 2¹ = 312022127 is a prime.

It is a super-3 number, since 3×312022129³ (a number of 26 digits) contains 333 as substring.

Together with 312022127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312022121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156011064 + 156011065.

It is an arithmetic number, because the mean of its divisors is an integer number (156011065).

Almost surely, 2^312022129 is an apocalyptic number.

It is an amenable number.

312022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312022129 is an equidigital number, since it uses as much as digits as its factorization.

312022129 is an evil number, because the sum of its binary digits is even.

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

The square root of 312022129 is about 17664.1481255112. The cubic root of 312022129 is about 678.2583232917.

The spelling of 312022129 in words is "three hundred twelve million, twenty-two thousand, one hundred twenty-nine".