200212003200 has 384 divisors, whose sum is σ = 722475008640. Its totient is φ = 48328704000.

The previous prime is 200212003193. The next prime is 200212003259. The reversal of 200212003200 is 2300212002.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 25445667 + ... + 25453533.

It is an arithmetic number, because the mean of its divisors is an integer number (1881445335).

Almost surely, 2^200212003200 is an apocalyptic number.

200212003200 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 200212003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361237504320).

200212003200 is an abundant number, since it is smaller than the sum of its proper divisors (522263005440).

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

200212003200 is a wasteful number, since it uses less digits than its factorization.

200212003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 200212003200 its reverse (2300212002), we get a palindrome (202512215202).

The spelling of 200212003200 in words is "two hundred billion, two hundred twelve million, three thousand, two hundred".