30301120 has 84 divisors (see below), whose sum is σ = 75849480. Its totient is φ = 11528704.

The previous prime is 30301109. The next prime is 30301121. The reversal of 30301120 is 2110303.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 30301097 and 30301106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30301121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169191 + ... + 169369.

It is an arithmetic number, because the mean of its divisors is an integer number (902970).

Almost surely, 2^30301120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37924740).

30301120 is an abundant number, since it is smaller than the sum of its proper divisors (45548360).

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

30301120 is a wasteful number, since it uses less digits than its factorization.

30301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 30301120 is about 5504.6453110078. The cubic root of 30301120 is about 311.7594025023.

Adding to 30301120 its reverse (2110303), we get a palindrome (32411423).

It can be divided in two parts, 303011 and 20, that added together give a triangular number (303031 = T₇₇₈).

The spelling of 30301120 in words is "thirty million, three hundred one thousand, one hundred twenty".