205252120 has 32 divisors (see below), whose sum is σ = 462265200. Its totient is φ = 82021248.

The previous prime is 205252081. The next prime is 205252127. The reversal of 205252120 is 21252502.

205252120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205252127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56602 + ... + 60118.

Almost surely, 2^205252120 is an apocalyptic number.

205252120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205252120 is an abundant number, since it is smaller than the sum of its proper divisors (257013080).

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

205252120 is a wasteful number, since it uses less digits than its factorization.

205252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 205252120 is about 14326.6227702135. The cubic root of 205252120 is about 589.8784773177.

The spelling of 205252120 in words is "two hundred five million, two hundred fifty-two thousand, one hundred twenty".