201210303200000 has 216 divisors, whose sum is σ = 502086396976416. Its totient is φ = 80472058880000.

The previous prime is 201210303199963. The next prime is 201210303200087. The reversal of 201210303200000 is 2303012102.

It is a happy number.

It is a super-3 number, since 3×201210303200000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6930385484 + ... + 6930414516.

It is an arithmetic number, because the mean of its divisors is an integer number (2324474060076).

Almost surely, 2^{201210303200000} is an apocalyptic number.

201210303200000 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 201210303200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251043198488208).

201210303200000 is an abundant number, since it is smaller than the sum of its proper divisors (300876093776416).

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

201210303200000 is an frugal number, since it uses more digits than its factorization.

201210303200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37737 (or 37703 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 201210303200000 its reverse (2303012102), we get a palindrome (201212606212102).

The spelling of 201210303200000 in words is "two hundred one trillion, two hundred ten billion, three hundred three million, two hundred thousand".