201332332000 has 96 divisors (see below), whose sum is σ = 494878325760. Its totient is φ = 80499596800.

The previous prime is 201332331997. The next prime is 201332332043. The reversal of 201332332000 is 233233102.

It is a happy number.

201332332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11146977 + ... + 11165023.

It is an arithmetic number, because the mean of its divisors is an integer number (5154982560).

Almost surely, 2^201332332000 is an apocalyptic number.

201332332000 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 201332332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247439162880).

201332332000 is an abundant number, since it is smaller than the sum of its proper divisors (293545993760).

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

201332332000 is a wasteful number, since it uses less digits than its factorization.

201332332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20861 (or 20843 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 201332332000 its reverse (233233102), we get a palindrome (201565565102).

The spelling of 201332332000 in words is "two hundred one billion, three hundred thirty-two million, three hundred thirty-two thousand".