12200311829 has 2 divisors, whose sum is σ = 12200311830. Its totient is φ = 12200311828.

The previous prime is 12200311757. The next prime is 12200311831. The reversal of 12200311829 is 92811300221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12129718225 + 70593604 = 110135^2 + 8402^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12200311829 is a prime.

It is a Sophie Germain prime.

Together with 12200311831, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200311229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100155914 + 6100155915.

It is an arithmetic number, because the mean of its divisors is an integer number (6100155915).

Almost surely, 2^12200311829 is an apocalyptic number.

It is an amenable number.

12200311829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200311829 is an equidigital number, since it uses as much as digits as its factorization.

12200311829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 12200311829 in words is "twelve billion, two hundred million, three hundred eleven thousand, eight hundred twenty-nine".