200311312000 has 128 divisors (see below), whose sum is σ = 506190793680. Its totient is φ = 78810624000.

The previous prime is 200311311979. The next prime is 200311312013. The reversal of 200311312000 is 213113002.

It can be written as a sum of positive squares in 8 ways, for example, as 7084252224 + 193227059776 = 84168^2 + 439576^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×200311312000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873382 + ... + 1078618.

Almost surely, 2^200311312000 is an apocalyptic number.

200311312000 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 200311312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253095396840).

200311312000 is an abundant number, since it is smaller than the sum of its proper divisors (305879481680).

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

200311312000 is an equidigital number, since it uses as much as digits as its factorization.

200311312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205327 (or 205305 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 200311312000 its reverse (213113002), we get a palindrome (200524425002).

The spelling of 200311312000 in words is "two hundred billion, three hundred eleven million, three hundred twelve thousand".