312141404022829 has 2 divisors, whose sum is σ = 312141404022830. Its totient is φ = 312141404022828.

The previous prime is 312141404022793. The next prime is 312141404022859. The reversal of 312141404022829 is 928220404141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298401371392804 + 13740032630025 = 17274298^2 + 3706755^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141404022829 - 2³³ = 312132814088237 is a prime.

It is a super-2 number, since 2×312141404022829² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312141404022859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070702011414 + 156070702011415.

It is an arithmetic number, because the mean of its divisors is an integer number (156070702011415).

Almost surely, 2^{312141404022829} is an apocalyptic number.

It is an amenable number.

312141404022829 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141404022829 is an equidigital number, since it uses as much as digits as its factorization.

312141404022829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 312141404022829 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million, twenty-two thousand, eight hundred twenty-nine".