331121332312212 has 192 divisors, whose sum is σ = 902750603166720. Its totient is φ = 93588364348416.

The previous prime is 331121332312201. The next prime is 331121332312213. The reversal of 331121332312212 is 212213233121133.

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 331121332312212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331121332312213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7979143 + ... + 26942705.

It is an arithmetic number, because the mean of its divisors is an integer number (4701826058160).

Almost surely, 2^{331121332312212} 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 331121332312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451375301583360).

331121332312212 is an abundant number, since it is smaller than the sum of its proper divisors (571629270854508).

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

331121332312212 is a wasteful number, since it uses less digits than its factorization.

331121332312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18963782 (or 18963780 counting only the distinct ones).

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

Adding to 331121332312212 its reverse (212213233121133), we get a palindrome (543334565433345).

The spelling of 331121332312212 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, three hundred thirty-two million, three hundred twelve thousand, two hundred twelve".