205021200 has 60 divisors (see below), whose sum is σ = 656755088. Its totient is φ = 54672000.

The previous prime is 205021199. The next prime is 205021231. The reversal of 205021200 is 2120502.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84226 + ... + 86625.

Almost surely, 2^205021200 is an apocalyptic number.

205021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205021200 is an abundant number, since it is smaller than the sum of its proper divisors (451733888).

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

205021200 is a wasteful number, since it uses less digits than its factorization.

205021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170872 (or 170861 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 205021200 is about 14318.5613802505. The cubic root of 205021200 is about 589.6571789896.

Adding to 205021200 its reverse (2120502), we get a palindrome (207141702).

The spelling of 205021200 in words is "two hundred five million, twenty-one thousand, two hundred".