200031031200 has 1152 divisors, whose sum is σ = 891266955264. Its totient is φ = 37619712000.

The previous prime is 200031031183. The next prime is 200031031223. The reversal of 200031031200 is 2130130002.

It is a happy number.

200031031200 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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127326415 + ... + 127327985.

It is an arithmetic number, because the mean of its divisors is an integer number (773669232).

Almost surely, 2^200031031200 is an apocalyptic number.

200031031200 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 200031031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445633477632).

200031031200 is an abundant number, since it is smaller than the sum of its proper divisors (691235924064).

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

200031031200 is a wasteful number, since it uses less digits than its factorization.

200031031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 200031031200 its reverse (2130130002), we get a palindrome (202161161202).

The spelling of 200031031200 in words is "two hundred billion, thirty-one million, thirty-one thousand, two hundred".