331022312212122 has 128 divisors (see below), whose sum is σ = 763314877140480. Its totient is φ = 106246230128640.

The previous prime is 331022312212091. The next prime is 331022312212133. The reversal of 331022312212122 is 221212213220133.

331022312212122 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 223 + 1 + 221 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5345332323 + ... + 5345394249.

It is an arithmetic number, because the mean of its divisors is an integer number (5963397477660).

Almost surely, 2^{331022312212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331022312212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381657438570240).

331022312212122 is an abundant number, since it is smaller than the sum of its proper divisors (432292564928358).

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

331022312212122 is a wasteful number, since it uses less digits than its factorization.

331022312212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89653 (or 89647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331022312212122 its reverse (221212213220133), we get a palindrome (552234525432255).

The spelling of 331022312212122 in words is "three hundred thirty-one trillion, twenty-two billion, three hundred twelve million, two hundred twelve thousand, one hundred twenty-two".