312002212001 has 2 divisors, whose sum is σ = 312002212002. Its totient is φ = 312002212000.

The previous prime is 312002211991. The next prime is 312002212003. The reversal of 312002212001 is 100212200213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269359962001 + 42642250000 = 518999^2 + 206500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312002212001 is a prime.

Together with 312002212003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312002212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156001106000 + 156001106001.

It is an arithmetic number, because the mean of its divisors is an integer number (156001106001).

Almost surely, 2^312002212001 is an apocalyptic number.

It is an amenable number.

312002212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312002212001 is an equidigital number, since it uses as much as digits as its factorization.

312002212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 312002212001 its reverse (100212200213), we get a palindrome (412214412214).

The spelling of 312002212001 in words is "three hundred twelve billion, two million, two hundred twelve thousand, one".