120120 has 128 divisors (see below), whose sum is σ = 483840. Its totient is φ = 23040.

The previous prime is 120103. The next prime is 120121. The reversal of 120120 is 21021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 120099 and 120108.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 65 × 33 × 56.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9234 + ... + 9246.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2¹²⁰¹²⁰ is an apocalyptic number.

120120 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 120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

120120 is an abundant number, since it is smaller than the sum of its proper divisors (363720).

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

120120 is a wasteful number, since it uses less digits than its factorization.

120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120120 is about 346.5833233149. The cubic root of 120120 is about 49.3406774230.

Adding to 120120 its reverse (21021), we get a palindrome (141141).

Subtracting from 120120 its reverse (21021), we obtain a palindrome (99099).

It can be divided in two parts, 1201 and 20, that added together give a palindrome (1221).

The spelling of 120120 in words is "one hundred twenty thousand, one hundred twenty", and thus it is an iban number.