331332112122000 has 320 divisors, whose sum is σ = 1170160589714688. Its totient is φ = 79989642240000.

The previous prime is 331332112121987. The next prime is 331332112122079. The reversal of 331332112122000 is 221211233133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5490682 + ... + 26321318.

Almost surely, 2^{331332112122000} is an apocalyptic number.

331332112122000 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 331332112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585080294857344).

331332112122000 is an abundant number, since it is smaller than the sum of its proper divisors (838828477592688).

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

331332112122000 is a wasteful number, since it uses less digits than its factorization.

331332112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20830915 (or 20830899 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331332112122000 its reverse (221211233133), we get a palindrome (331553323355133).

The spelling of 331332112122000 in words is "three hundred thirty-one trillion, three hundred thirty-two billion, one hundred twelve million, one hundred twenty-two thousand".