312434222401 has 16 divisors (see below), whose sum is σ = 366850122496. Its totient is φ = 260469141696.

The previous prime is 312434222381. The next prime is 312434222431. The reversal of 312434222401 is 104222434213.

It is a cyclic number.

It is not a de Polignac number, because 312434222401 - 2⁹ = 312434221889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312434222401.

It is not an unprimeable number, because it can be changed into a prime (312434222431) 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 in 15 ways as a sum of consecutive naturals, for example, 508780 + ... + 940066.

It is an arithmetic number, because the mean of its divisors is an integer number (22928132656).

Almost surely, 2^312434222401 is an apocalyptic number.

It is an amenable number.

312434222401 is a deficient number, since it is larger than the sum of its proper divisors (54415900095).

312434222401 is a wasteful number, since it uses less digits than its factorization.

312434222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434128.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312434222401 its reverse (104222434213), we get a palindrome (416656656614).

The spelling of 312434222401 in words is "three hundred twelve billion, four hundred thirty-four million, two hundred twenty-two thousand, four hundred one".