222122312001 has 144 divisors (see below), whose sum is σ = 367141254480. Its totient is φ = 128791756800.

The previous prime is 222122311951. The next prime is 222122312017. The reversal of 222122312001 is 100213221222.

222122312001 is a `hidden beast` number, since 22 + 212 + 231 + 200 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14459822001 + 207662490000 = 120249^2 + 455700^2 .

It is not a de Polignac number, because 222122312001 - 2⁶ = 222122311937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222122312051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 481826911 + ... + 481827371.

It is an arithmetic number, because the mean of its divisors is an integer number (2549592045).

Almost surely, 2^222122312001 is an apocalyptic number.

It is an amenable number.

222122312001 is a deficient number, since it is larger than the sum of its proper divisors (145018942479).

222122312001 is a wasteful number, since it uses less digits than its factorization.

222122312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222122312001 its reverse (100213221222), we get a palindrome (322335533223).

The spelling of 222122312001 in words is "two hundred twenty-two billion, one hundred twenty-two million, three hundred twelve thousand, one".