205027120 has 40 divisors (see below), whose sum is σ = 482736960. Its totient is φ = 80970240.

The previous prime is 205027117. The next prime is 205027127. The reversal of 205027120 is 21720502.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×205027120² = 84072239870988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205027127) 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 7 ways as a sum of consecutive naturals, for example, 9901 + ... + 22540.

It is an arithmetic number, because the mean of its divisors is an integer number (12068424).

Almost surely, 2^205027120 is an apocalyptic number.

205027120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205027120 is an abundant number, since it is smaller than the sum of its proper divisors (277709840).

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

205027120 is a wasteful number, since it uses less digits than its factorization.

205027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32533 (or 32527 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 205027120 is about 14318.7681034368. The cubic root of 205027120 is about 589.6628543976.

Adding to 205027120 its reverse (21720502), we get a palindrome (226747622).

The spelling of 205027120 in words is "two hundred five million, twenty-seven thousand, one hundred twenty".