332033112033200 has 120 divisors (see below), whose sum is σ = 800531797175376. Its totient is φ = 132343473024000.

The previous prime is 332033112033151. The next prime is 332033112033247. The reversal of 332033112033200 is 2330211330233.

It is a happy number.

It is a super-2 number, since 2×332033112033200² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332033112033200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963328895 + ... + 963673505.

Almost surely, 2^{332033112033200} 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 332033112033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400265898587688).

332033112033200 is an abundant number, since it is smaller than the sum of its proper divisors (468498685142176).

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

332033112033200 is a wasteful number, since it uses less digits than its factorization.

332033112033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353143 (or 353132 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 332033112033200 its reverse (2330211330233), we get a palindrome (334363323363433).

The spelling of 332033112033200 in words is "three hundred thirty-two trillion, thirty-three billion, one hundred twelve million, thirty-three thousand, two hundred".