332331323220000 has 720 divisors, whose sum is σ = 1272086866218168. Its totient is φ = 81786101760000.

The previous prime is 332331323219999. The next prime is 332331323220077. The reversal of 332331323220000 is 22323133233.

332331323220000 is a `hidden beast` number, since 3 + 3 + 2 + 331 + 3 + 2 + 322 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 169633849214736 + 162697474005264 = 13024356^2 + 12755292^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×332331323220000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12357526554 + ... + 12357553446.

Almost surely, 2^{332331323220000} is an apocalyptic number.

332331323220000 is a gapful number since it is divisible by the number (30) 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 332331323220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636043433109084).

332331323220000 is an abundant number, since it is smaller than the sum of its proper divisors (939755542998168).

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

332331323220000 is a wasteful number, since it uses less digits than its factorization.

332331323220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32223 (or 32197 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 332331323220000 its reverse (22323133233), we get a palindrome (332353646353233).

The spelling of 332331323220000 in words is "three hundred thirty-two trillion, three hundred thirty-one billion, three hundred twenty-three million, two hundred twenty thousand".