205001120 has 24 divisors (see below), whose sum is σ = 484315524. Its totient is φ = 82000384.

The previous prime is 205001117. The next prime is 205001123. The reversal of 205001120 is 21100502.

It is an interprime number because it is at equal distance from previous prime (205001117) and next prime (205001123).

It can be written as a sum of positive squares in 2 ways, for example, as 201299344 + 3701776 = 14188^2 + 1924^2 .

It is not an unprimeable number, because it can be changed into a prime (205001123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640469 + ... + 640788.

Almost surely, 2^205001120 is an apocalyptic number.

205001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205001120 is an abundant number, since it is smaller than the sum of its proper divisors (279314404).

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

205001120 is a wasteful number, since it uses less digits than its factorization.

205001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281272 (or 1281264 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 205001120 is about 14317.8601753195. The cubic root of 205001120 is about 589.6379278053.

Adding to 205001120 its reverse (21100502), we get a palindrome (226101622).

The spelling of 205001120 in words is "two hundred five million, one thousand, one hundred twenty".