205247120 has 240 divisors, whose sum is σ = 588176640. Its totient is φ = 66134016.

The previous prime is 205247117. The next prime is 205247129. The reversal of 205247120 is 21742502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (205247129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366937 + ... + 4366983.

It is an arithmetic number, because the mean of its divisors is an integer number (2450736).

Almost surely, 2^205247120 is an apocalyptic number.

205247120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205247120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294088320).

205247120 is an abundant number, since it is smaller than the sum of its proper divisors (382929520).

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

205247120 is a wasteful number, since it uses less digits than its factorization.

205247120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 205247120 is about 14326.4482688488. The cubic root of 205247120 is about 589.8736874096.

Adding to 205247120 its reverse (21742502), we get a palindrome (226989622).

The spelling of 205247120 in words is "two hundred five million, two hundred forty-seven thousand, one hundred twenty".