332111312000 has 256 divisors, whose sum is σ = 893943479520. Its totient is φ = 121975603200.

The previous prime is 332111311991. The next prime is 332111312017. The reversal of 332111312000 is 213111233.

It can be written as a sum of positive squares in 16 ways, for example, as 51914711104 + 280196600896 = 227848^2 + 529336^2 .

It is a super-2 number, since 2×332111312000² (a number of 24 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 332111312000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40139864 + ... + 40148136.

Almost surely, 2^332111312000 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 332111312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446971739760).

332111312000 is an abundant number, since it is smaller than the sum of its proper divisors (561832167520).

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

332111312000 is a wasteful number, since it uses less digits than its factorization.

332111312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 332111312000 its reverse (213111233), we get a palindrome (332324423233).

The spelling of 332111312000 in words is "three hundred thirty-two billion, one hundred eleven million, three hundred twelve thousand".