200000311324000 has 384 divisors, whose sum is σ = 537889264174080. Its totient is φ = 72481489408000.

The previous prime is 200000311323991. The next prime is 200000311324003. The reversal of 200000311324000 is 423113000002.

It is a happy number.

200000311324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000311324003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16198285827 + ... + 16198298173.

It is an arithmetic number, because the mean of its divisors is an integer number (1400753292120).

Almost surely, 2^{200000311324000} is an apocalyptic number.

200000311324000 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 200000311324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268944632087040).

200000311324000 is an abundant number, since it is smaller than the sum of its proper divisors (337888952850080).

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

200000311324000 is a wasteful number, since it uses less digits than its factorization.

200000311324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13599 (or 13581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200000311324000 its reverse (423113000002), we get a palindrome (200423424324002).

The spelling of 200000311324000 in words is "two hundred trillion, three hundred eleven million, three hundred twenty-four thousand".