205030305312 has 192 divisors, whose sum is σ = 636825369600. Its totient is φ = 56513479680.

The previous prime is 205030305289. The next prime is 205030305313. The reversal of 205030305312 is 213503030502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (205030305313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28429387 + ... + 28436597.

It is an arithmetic number, because the mean of its divisors is an integer number (3316798800).

Almost surely, 2^205030305312 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 205030305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318412684800).

205030305312 is an abundant number, since it is smaller than the sum of its proper divisors (431795064288).

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

205030305312 is a wasteful number, since it uses less digits than its factorization.

205030305312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8719 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 205030305312 its reverse (213503030502), we get a palindrome (418533335814).

The spelling of 205030305312 in words is "two hundred five billion, thirty million, three hundred five thousand, three hundred twelve".