712011222001 has 2 divisors, whose sum is σ = 712011222002. Its totient is φ = 712011222000.

The previous prime is 712011221993. The next prime is 712011222007. The reversal of 712011222001 is 100222110217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 582094228401 + 129916993600 = 762951^2 + 360440^2 .

It is an emirp because it is prime and its reverse (100222110217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712011222001 - 2³ = 712011221993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 712011222001.

It is not a weakly prime, because it can be changed into another prime (712011222007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356005611000 + 356005611001.

It is an arithmetic number, because the mean of its divisors is an integer number (356005611001).

Almost surely, 2^712011222001 is an apocalyptic number.

It is an amenable number.

712011222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

712011222001 is an equidigital number, since it uses as much as digits as its factorization.

712011222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 712011222001 its reverse (100222110217), we get a palindrome (812233332218).

The spelling of 712011222001 in words is "seven hundred twelve billion, eleven million, two hundred twenty-two thousand, one".