10222123005 has 48 divisors (see below), whose sum is σ = 17911024560. Its totient is φ = 5392687104.

The previous prime is 10222123003. The next prime is 10222123019. The reversal of 10222123005 is 50032122201.

It can be written as a sum of positive squares in 8 ways, for example, as 1192942521 + 9029180484 = 34539^2 + 95022^2 .

It is not a de Polignac number, because 10222123005 - 2¹ = 10222123003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222123003) 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 47 ways as a sum of consecutive naturals, for example, 3711709 + ... + 3714461.

It is an arithmetic number, because the mean of its divisors is an integer number (373146345).

Almost surely, 2^10222123005 is an apocalyptic number.

10222123005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10222123005 is a deficient number, since it is larger than the sum of its proper divisors (7688901555).

10222123005 is a wasteful number, since it uses less digits than its factorization.

10222123005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10222123005 its reverse (50032122201), we get a palindrome (60254245206).

The spelling of 10222123005 in words is "ten billion, two hundred twenty-two million, one hundred twenty-three thousand, five".