30120 has 32 divisors (see below), whose sum is σ = 90720. Its totient is φ = 8000.

The previous prime is 30119. The next prime is 30133. The reversal of 30120 is 2103.

30120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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.

30120 is strictly pandigital in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 30099 and 30108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³⁰¹²⁰ is an apocalyptic number.

30120 is a gapful number since it is divisible by the number (30) 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 30120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

30120 is an abundant number, since it is smaller than the sum of its proper divisors (60600).

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

30120 is a wasteful number, since it uses less digits than its factorization.

30120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

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

The square root of 30120 is about 173.5511451993. The cubic root of 30120 is about 31.1136997090.

Adding to 30120 its reverse (2103), we get a palindrome (32223).

It can be divided in two parts, 30 and 120, that multiplied together give a square (3600 = 60²).

The spelling of 30120 in words is "thirty thousand, one hundred twenty".