310321120120 has 128 divisors (see below), whose sum is σ = 788540184000. Its totient is φ = 108873031680.

The previous prime is 310321120117. The next prime is 310321120121. The reversal of 310321120120 is 21021123013.

It is a junction number, because it is equal to n+sod(n) for n = 310321120094 and 310321120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310321120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18991474 + ... + 19007806.

Almost surely, 2^310321120120 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 310321120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394270092000).

310321120120 is an abundant number, since it is smaller than the sum of its proper divisors (478219063880).

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

310321120120 is a wasteful number, since it uses less digits than its factorization.

310321120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17873 (or 17869 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 310321120120 its reverse (21021123013), we get a palindrome (331342243133).

The spelling of 310321120120 in words is "three hundred ten billion, three hundred twenty-one million, one hundred twenty thousand, one hundred twenty".