205120512 has 110 divisors (see below), whose sum is σ = 612777638. Its totient is φ = 68345856.

The previous prime is 205120507. The next prime is 205120519. The reversal of 205120512 is 215021502.

205120512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 191102976 + 14017536 = 13824^2 + 3744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (205120519) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81708 + ... + 84180.

Almost surely, 2^205120512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306388819).

205120512 is an abundant number, since it is smaller than the sum of its proper divisors (407657126).

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

205120512 is an equidigital number, since it uses as much as digits as its factorization.

205120512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 205120512 is about 14322.0289065481. The cubic root of 205120512 is about 589.7523733416.

The spelling of 205120512 in words is "two hundred five million, one hundred twenty thousand, five hundred twelve".