205300302112000 has 144 divisors (see below), whose sum is σ = 511872370590672. Its totient is φ = 82048883097600.

The previous prime is 205300302111953. The next prime is 205300302112063. The reversal of 205300302112000 is 211203003502.

It can be written as a sum of positive squares in 8 ways, for example, as 16718416281856 + 188581885830144 = 4088816^2 + 13732512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34113852 + ... + 39678148.

It is an arithmetic number, because the mean of its divisors is an integer number (3554669240213).

Almost surely, 2^{205300302112000} is an apocalyptic number.

205300302112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205300302112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255936185295336).

205300302112000 is an abundant number, since it is smaller than the sum of its proper divisors (306572068478672).

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

205300302112000 is an equidigital number, since it uses as much as digits as its factorization.

205300302112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565481 (or 5565457 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 205300302112000 its reverse (211203003502), we get a palindrome (205511505115502).

The spelling of 205300302112000 in words is "two hundred five trillion, three hundred billion, three hundred two million, one hundred twelve thousand".