201324032065200 has 480 divisors, whose sum is σ = 706656633937920. Its totient is φ = 48589443302400.

The previous prime is 201324032065193. The next prime is 201324032065237. The reversal of 201324032065200 is 2560230423102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24364516269 + ... + 24364524531.

It is an arithmetic number, because the mean of its divisors is an integer number (1472201320704).

Almost surely, 2^{201324032065200} is an apocalyptic number.

201324032065200 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 201324032065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353328316968960).

201324032065200 is an abundant number, since it is smaller than the sum of its proper divisors (505332601872720).

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

201324032065200 is a wasteful number, since it uses less digits than its factorization.

201324032065200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16257 (or 16246 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 201324032065200 its reverse (2560230423102), we get a palindrome (203884262488302).

The spelling of 201324032065200 in words is "two hundred one trillion, three hundred twenty-four billion, thirty-two million, sixty-five thousand, two hundred".