331122121123332 has 384 divisors, whose sum is σ = 1021644209553408. Its totient is φ = 80919620812800.

The previous prime is 331122121123301. The next prime is 331122121123351. The reversal of 331122121123332 is 233321121221133.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 331122121123332.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 972342532 + ... + 972683012.

It is an arithmetic number, because the mean of its divisors is an integer number (2660531795712).

Almost surely, 2^{331122121123332} 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 331122121123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510822104776704).

331122121123332 is an abundant number, since it is smaller than the sum of its proper divisors (690522088430076).

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

331122121123332 is a wasteful number, since it uses less digits than its factorization.

331122121123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341279 (or 341277 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 331122121123332 its reverse (233321121221133), we get a palindrome (564443242344465).

The spelling of 331122121123332 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred thirty-two".