331123320120 has 128 divisors (see below), whose sum is σ = 1052091244800. Its totient is φ = 83082725376.

The previous prime is 331123320107. The next prime is 331123320179. The reversal of 331123320120 is 21023321133.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8178567 + ... + 8218953.

It is an arithmetic number, because the mean of its divisors is an integer number (8219462850).

Almost surely, 2^331123320120 is an apocalyptic number.

331123320120 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 331123320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526045622400).

331123320120 is an abundant number, since it is smaller than the sum of its proper divisors (720967924680).

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

331123320120 is a wasteful number, since it uses less digits than its factorization.

331123320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44437 (or 44433 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 331123320120 its reverse (21023321133), we get a palindrome (352146641253).

The spelling of 331123320120 in words is "three hundred thirty-one billion, one hundred twenty-three million, three hundred twenty thousand, one hundred twenty".