201203200 has 120 divisors (see below), whose sum is σ = 544195080. Its totient is φ = 73113600.

The previous prime is 201203183. The next prime is 201203201. The reversal of 201203200 is 2302102.

201203200 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201203201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140086 + ... + 141514.

It is an arithmetic number, because the mean of its divisors is an integer number (4534959).

Almost surely, 2^201203200 is an apocalyptic number.

201203200 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 201203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272097540).

201203200 is an abundant number, since it is smaller than the sum of its proper divisors (342991880).

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

201203200 is a wasteful number, since it uses less digits than its factorization.

201203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 201203200 is about 14184.6113799427. The cubic root of 201203200 is about 585.9739298120.

Adding to 201203200 its reverse (2302102), we get a palindrome (203505302).

It can be divided in two parts, 201 and 203200, that added together give a square (203401 = 451²).

The spelling of 201203200 in words is "two hundred one million, two hundred three thousand, two hundred".