123013320312120 has 256 divisors, whose sum is σ = 433193731568640. Its totient is φ = 27355200933888.

The previous prime is 123013320312119. The next prime is 123013320312131. The reversal of 123013320312120 is 21213023310321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402426459 + ... + 402732021.

It is an arithmetic number, because the mean of its divisors is an integer number (1692163013940).

Almost surely, 2^{123013320312120} is an apocalyptic number.

123013320312120 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 123013320312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216596865784320).

123013320312120 is an abundant number, since it is smaller than the sum of its proper divisors (310180411256520).

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

123013320312120 is a wasteful number, since it uses less digits than its factorization.

123013320312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318574 (or 318570 counting only the distinct ones).

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

Adding to 123013320312120 its reverse (21213023310321), we get a palindrome (144226343622441).

The spelling of 123013320312120 in words is "one hundred twenty-three trillion, thirteen billion, three hundred twenty million, three hundred twelve thousand, one hundred twenty".