30045120 has 224 divisors, whose sum is σ = 115872768. Its totient is φ = 6438912.

The previous prime is 30045109. The next prime is 30045133. The reversal of 30045120 is 2154003.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30045120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114109 + ... + 114371.

Almost surely, 2^30045120 is an apocalyptic number.

30045120 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 30045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936384).

30045120 is an abundant number, since it is smaller than the sum of its proper divisors (85827648).

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

30045120 is a wasteful number, since it uses less digits than its factorization.

30045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 30045120 is about 5481.3429011511. The cubic root of 30045120 is about 310.8789484879.

Adding to 30045120 its reverse (2154003), we get a palindrome (32199123).

The spelling of 30045120 in words is "thirty million, forty-five thousand, one hundred twenty".