205122221007 has 24 divisors (see below), whose sum is σ = 308744776368. Its totient is φ = 120956584320.

The previous prime is 205122220997. The next prime is 205122221039. The reversal of 205122221007 is 700122221502.

It is not a de Polignac number, because 205122221007 - 2¹⁶ = 205122155471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205122221207) 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 23 ways as a sum of consecutive naturals, for example, 7622718 + ... + 7649579.

It is an arithmetic number, because the mean of its divisors is an integer number (12864365682).

Almost surely, 2^205122221007 is an apocalyptic number.

205122221007 is a deficient number, since it is larger than the sum of its proper divisors (103622555361).

205122221007 is a wasteful number, since it uses less digits than its factorization.

205122221007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15272359 (or 15272348 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 205122221007 its reverse (700122221502), we get a palindrome (905244442509).

The spelling of 205122221007 in words is "two hundred five billion, one hundred twenty-two million, two hundred twenty-one thousand, seven".