200201203321200 has 360 divisors, whose sum is σ = 725076385712640. Its totient is φ = 51057649420800.

The previous prime is 200201203321181. The next prime is 200201203321201. The reversal of 200201203321200 is 2123302102002.

200201203321200 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 120 + 3 + 321 + 200 = 666.

200201203321200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×200201203321200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201203321201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 526335085 + ... + 526715315.

It is an arithmetic number, because the mean of its divisors is an integer number (2014101071424).

Almost surely, 2^{200201203321200} is an apocalyptic number.

200201203321200 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 200201203321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362538192856320).

200201203321200 is an abundant number, since it is smaller than the sum of its proper divisors (524875182391440).

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

200201203321200 is a wasteful number, since it uses less digits than its factorization.

200201203321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386637 (or 386623 counting only the distinct ones).

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

Adding to 200201203321200 its reverse (2123302102002), we get a palindrome (202324505423202).

The spelling of 200201203321200 in words is "two hundred trillion, two hundred one billion, two hundred three million, three hundred twenty-one thousand, two hundred".