205132120 has 16 divisors (see below), whose sum is σ = 461547360. Its totient is φ = 82052832.

The previous prime is 205132087. The next prime is 205132129. The reversal of 205132120 is 21231502.

It is a junction number, because it is equal to n+sod(n) for n = 205132094 and 205132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205132129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2564112 + ... + 2564191.

It is an arithmetic number, because the mean of its divisors is an integer number (28846710).

Almost surely, 2^205132120 is an apocalyptic number.

205132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205132120 is an abundant number, since it is smaller than the sum of its proper divisors (256415240).

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

205132120 is a wasteful number, since it uses less digits than its factorization.

205132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128314 (or 5128310 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205132120 is about 14322.4341506603. The cubic root of 205132120 is about 589.7634980480.

Adding to 205132120 its reverse (21231502), we get a palindrome (226363622).

The spelling of 205132120 in words is "two hundred five million, one hundred thirty-two thousand, one hundred twenty".