205312012732200 has 384 divisors, whose sum is σ = 699416759462400. Its totient is φ = 49407912576000.

The previous prime is 205312012732187. The next prime is 205312012732237. The reversal of 205312012732200 is 2237210213502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12853683414 + ... + 12853699386.

It is an arithmetic number, because the mean of its divisors is an integer number (1821397811100).

Almost surely, 2^{205312012732200} is an apocalyptic number.

205312012732200 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 205312012732200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349708379731200).

205312012732200 is an abundant number, since it is smaller than the sum of its proper divisors (494104746730200).

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

205312012732200 is a wasteful number, since it uses less digits than its factorization.

205312012732200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30153 (or 30144 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 205312012732200 its reverse (2237210213502), we get a palindrome (207549222945702).

The spelling of 205312012732200 in words is "two hundred five trillion, three hundred twelve billion, twelve million, seven hundred thirty-two thousand, two hundred".