201332003200 has 96 divisors (see below), whose sum is σ = 497549427120. Its totient is φ = 80500992000.

The previous prime is 201332003189. The next prime is 201332003203. The reversal of 201332003200 is 2300233102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332003203) 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, 9144205 + ... + 9166195.

Almost surely, 2^201332003200 is an apocalyptic number.

201332003200 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 201332003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248774713560).

201332003200 is an abundant number, since it is smaller than the sum of its proper divisors (296217423920).

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

201332003200 is a wasteful number, since it uses less digits than its factorization.

201332003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24876 (or 24859 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 201332003200 its reverse (2300233102), we get a palindrome (203632236302).

The spelling of 201332003200 in words is "two hundred one billion, three hundred thirty-two million, three thousand, two hundred".