123223323323120 has 160 divisors (see below), whose sum is σ = 294201013680000. Its totient is φ = 47969370767360.

The previous prime is 123223323323063. The next prime is 123223323323143. The reversal of 123223323323120 is 21323323322321.

123223323323120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 11132284946 + ... + 11132296014.

It is an arithmetic number, because the mean of its divisors is an integer number (1838756335500).

Almost surely, 2^{123223323323120} is an apocalyptic number.

123223323323120 is a gapful number since it is divisible by the number (10) 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 123223323323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147100506840000).

123223323323120 is an abundant number, since it is smaller than the sum of its proper divisors (170977690356880).

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

123223323323120 is a wasteful number, since it uses less digits than its factorization.

123223323323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 123223323323120 its reverse (21323323322321), we get a palindrome (144546646645441).

The spelling of 123223323323120 in words is "one hundred twenty-three trillion, two hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty".