322112122001001 has 48 divisors (see below), whose sum is σ = 470215813953600. Its totient is φ = 212475828933504.

The previous prime is 322112122000897. The next prime is 322112122001023. The reversal of 322112122001001 is 100100221211223.

322112122001001 is a `hidden beast` number, since 3 + 221 + 121 + 220 + 0 + 100 + 1 = 666.

It is not a de Polignac number, because 322112122001001 - 2¹³ = 322112121992809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (322112122001071) 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 47 ways as a sum of consecutive naturals, for example, 219407770 + ... + 220870988.

It is an arithmetic number, because the mean of its divisors is an integer number (9796162790700).

Almost surely, 2^{322112122001001} is an apocalyptic number.

It is an amenable number.

322112122001001 is a deficient number, since it is larger than the sum of its proper divisors (148103691952599).

322112122001001 is a wasteful number, since it uses less digits than its factorization.

322112122001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464118 (or 1464115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 322112122001001 its reverse (100100221211223), we get a palindrome (422212343212224).

The spelling of 322112122001001 in words is "three hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-two million, one thousand, one".