123120 has 100 divisors (see below), whose sum is σ = 450120. Its totient is φ = 31104.

The previous prime is 123113. The next prime is 123121. The reversal of 123120 is 21321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6471 + ... + 6489.

2¹²³¹²⁰ is an apocalyptic number.

123120 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 123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225060).

123120 is an abundant number, since it is smaller than the sum of its proper divisors (327000).

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

123120 is a wasteful number, since it uses less digits than its factorization.

123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 123120 is about 350.8845964131. The cubic root of 123120 is about 49.7480660511.

Adding to 123120 its reverse (21321), we get a palindrome (144441).

It can be divided in two parts, 123 and 120, that added together give a 5-th power (243 = 3⁵).

The spelling of 123120 in words is "one hundred twenty-three thousand, one hundred twenty", and thus it is an iban number.