322123112001 has 24 divisors (see below), whose sum is σ = 498194391240. Its totient is φ = 199845482496.

The previous prime is 322123111997. The next prime is 322123112021. The reversal of 322123112001 is 100211321223.

322123112001 is a `hidden beast` number, since 322 + 12 + 311 + 20 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34382059776 + 287741052225 = 185424^2 + 536415^2 .

It is not a de Polignac number, because 322123112001 - 2² = 322123111997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (322123112021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11814360 + ... + 11841593.

It is an arithmetic number, because the mean of its divisors is an integer number (20758099635).

Almost surely, 2^322123112001 is an apocalyptic number.

It is an amenable number.

322123112001 is a deficient number, since it is larger than the sum of its proper divisors (176071279239).

322123112001 is a wasteful number, since it uses less digits than its factorization.

322123112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23656065 (or 23656062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 322123112001 its reverse (100211321223), we get a palindrome (422334433224).

The spelling of 322123112001 in words is "three hundred twenty-two billion, one hundred twenty-three million, one hundred twelve thousand, one".