205344022120 has 32 divisors (see below), whose sum is σ = 463600950120. Its totient is φ = 81857271040.

The previous prime is 205344022111. The next prime is 205344022123. The reversal of 205344022120 is 21220443502.

It can be written as a sum of positive squares in 4 ways, for example, as 177057491524 + 28286530596 = 420782^2 + 168186^2 .

It is not an unprimeable number, because it can be changed into a prime (205344022123) 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 7 ways as a sum of consecutive naturals, for example, 8748691 + ... + 8772130.

Almost surely, 2^205344022120 is an apocalyptic number.

205344022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205344022120 is an abundant number, since it is smaller than the sum of its proper divisors (258256928000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205344022120 is a wasteful number, since it uses less digits than its factorization.

205344022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17521125 (or 17521121 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 205344022120 its reverse (21220443502), we get a palindrome (226564465622).

The spelling of 205344022120 in words is "two hundred five billion, three hundred forty-four million, twenty-two thousand, one hundred twenty".