322112314214201 has 12 divisors (see below), whose sum is σ = 374758536722148. Its totient is φ = 276054669489312.

The previous prime is 322112314214189. The next prime is 322112314214209. The reversal of 322112314214201 is 102412413211223.

It can be written as a sum of positive squares in 2 ways, for example, as 12797082444601 + 309315231769600 = 3577301^2 + 17587360^2 .

It is not a de Polignac number, because 322112314214201 - 2³⁰ = 322111240472377 is a prime.

It is a super-3 number, since 3×322112314214201³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (322112314214209) 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 in 11 ways as a sum of consecutive naturals, for example, 494907626 + ... + 495558051.

It is an arithmetic number, because the mean of its divisors is an integer number (31229878060179).

Almost surely, 2^{322112314214201} is an apocalyptic number.

It is an amenable number.

322112314214201 is a deficient number, since it is larger than the sum of its proper divisors (52646222507947).

322112314214201 is an equidigital number, since it uses as much as digits as its factorization.

322112314214201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990472328 (or 990472321 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 322112314214201 its reverse (102412413211223), we get a palindrome (424524727425424).

The spelling of 322112314214201 in words is "three hundred twenty-two trillion, one hundred twelve billion, three hundred fourteen million, two hundred fourteen thousand, two hundred one".