332000133200 has 240 divisors, whose sum is σ = 884024668800. Its totient is φ = 119180328960.

The previous prime is 332000133173. The next prime is 332000133209. The reversal of 332000133200 is 2331000233.

It is a super-2 number, since 2×332000133200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332000133209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52703651 + ... + 52709949.

It is an arithmetic number, because the mean of its divisors is an integer number (3683436120).

Almost surely, 2^332000133200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332000133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442012334400).

332000133200 is an abundant number, since it is smaller than the sum of its proper divisors (552024535600).

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

332000133200 is a wasteful number, since it uses less digits than its factorization.

332000133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 332000133200 its reverse (2331000233), we get a palindrome (334331133433).

The spelling of 332000133200 in words is "three hundred thirty-two billion, one hundred thirty-three thousand, two hundred".