312224212230401 has 2 divisors, whose sum is σ = 312224212230402. Its totient is φ = 312224212230400.

The previous prime is 312224212230361. The next prime is 312224212230431. The reversal of 312224212230401 is 104032212422213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247157387137600 + 65066825092801 = 15721240^2 + 8066401^2 .

It is a cyclic number.

It is not a de Polignac number, because 312224212230401 - 2¹⁴ = 312224212214017 is a prime.

It is a super-3 number, since 3×312224212230401³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (312224212230431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156112106115200 + 156112106115201.

It is an arithmetic number, because the mean of its divisors is an integer number (156112106115201).

Almost surely, 2^{312224212230401} is an apocalyptic number.

It is an amenable number.

312224212230401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312224212230401 is an equidigital number, since it uses as much as digits as its factorization.

312224212230401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 312224212230401 its reverse (104032212422213), we get a palindrome (416256424652614).

The spelling of 312224212230401 in words is "three hundred twelve trillion, two hundred twenty-four billion, two hundred twelve million, two hundred thirty thousand, four hundred one".