201115200 has 336 divisors, whose sum is σ = 777825216. Its totient is φ = 44851200.

The previous prime is 201115177. The next prime is 201115217. The reversal of 201115200 is 2511102.

201115200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686254 + ... + 686546.

It is an arithmetic number, because the mean of its divisors is an integer number (2314956).

Almost surely, 2^201115200 is an apocalyptic number.

201115200 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 201115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388912608).

201115200 is an abundant number, since it is smaller than the sum of its proper divisors (576710016).

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

201115200 is a wasteful number, since it uses less digits than its factorization.

201115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 201115200 is about 14181.5090875407. The cubic root of 201115200 is about 585.8884884516. Note that the first 3 decimals are identical.

Adding to 201115200 its reverse (2511102), we get a palindrome (203626302).

The spelling of 201115200 in words is "two hundred one million, one hundred fifteen thousand, two hundred".