332010233213120 has 448 divisors, whose sum is σ = 994794090135552. Its totient is φ = 102531417600000.

The previous prime is 332010233213083. The next prime is 332010233213149. The reversal of 332010233213120 is 21312332010233.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×332010233213120² (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 332010233213120.

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 63 ways as a sum of consecutive naturals, for example, 1181125709 + ... + 1181406771.

It is an arithmetic number, because the mean of its divisors is an integer number (2220522522624).

Almost surely, 2^{332010233213120} 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 332010233213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497397045067776).

332010233213120 is an abundant number, since it is smaller than the sum of its proper divisors (662783856922432).

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

332010233213120 is a wasteful number, since it uses less digits than its factorization.

332010233213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281540 (or 281530 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 332010233213120 its reverse (21312332010233), we get a palindrome (353322565223353).

The spelling of 332010233213120 in words is "three hundred thirty-two trillion, ten billion, two hundred thirty-three million, two hundred thirteen thousand, one hundred twenty".