201214303200 has 432 divisors, whose sum is σ = 752954057856. Its totient is φ = 52407129600.

The previous prime is 201214303193. The next prime is 201214303219. The reversal of 201214303200 is 2303412102.

201214303200 is a `hidden beast` number, since 20 + 12 + 1 + 430 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8347165 + ... + 8371235.

It is an arithmetic number, because the mean of its divisors is an integer number (1742949208).

Almost surely, 2^201214303200 is an apocalyptic number.

201214303200 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 201214303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376477028928).

201214303200 is an abundant number, since it is smaller than the sum of its proper divisors (551739754656).

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

201214303200 is a wasteful number, since it uses less digits than its factorization.

201214303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24149 (or 24124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201214303200 its reverse (2303412102), we get a palindrome (203517715302).

The spelling of 201214303200 in words is "two hundred one billion, two hundred fourteen million, three hundred three thousand, two hundred".