30024120 has 128 divisors (see below), whose sum is σ = 106352640. Its totient is φ = 6635520.

The previous prime is 30024109. The next prime is 30024133. The reversal of 30024120 is 2142003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30024096 and 30024105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25464 + ... + 26616.

It is an arithmetic number, because the mean of its divisors is an integer number (830880).

Almost surely, 2^30024120 is an apocalyptic number.

30024120 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 30024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53176320).

30024120 is an abundant number, since it is smaller than the sum of its proper divisors (76328520).

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

30024120 is a wasteful number, since it uses less digits than its factorization.

30024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30024120 is about 5479.4269773399. The cubic root of 30024120 is about 310.8065021191.

Adding to 30024120 its reverse (2142003), we get a palindrome (32166123).

The spelling of 30024120 in words is "thirty million, twenty-four thousand, one hundred twenty".