200103312000 has 256 divisors, whose sum is σ = 692187275520. Its totient is φ = 51040563200.

The previous prime is 200103311861. The next prime is 200103312001. The reversal of 200103312000 is 213301002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200103312001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1013374 + ... + 1194626.

It is an arithmetic number, because the mean of its divisors is an integer number (2703856545).

Almost surely, 2^200103312000 is an apocalyptic number.

200103312000 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 200103312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346093637760).

200103312000 is an abundant number, since it is smaller than the sum of its proper divisors (492083963520).

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

200103312000 is a wasteful number, since it uses less digits than its factorization.

200103312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181308 (or 181286 counting only the distinct ones).

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

Adding to 200103312000 its reverse (213301002), we get a palindrome (200316613002).

The spelling of 200103312000 in words is "two hundred billion, one hundred three million, three hundred twelve thousand".