300228120 has 160 divisors (see below), whose sum is σ = 1062428400. Its totient is φ = 75831552.

The previous prime is 300228119. The next prime is 300228161. The reversal of 300228120 is 21822003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300228093 and 300228102.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 59122 + ... + 63998.

Almost surely, 2^300228120 is an apocalyptic number.

300228120 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 300228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531214200).

300228120 is an abundant number, since it is smaller than the sum of its proper divisors (762200280).

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

300228120 is a wasteful number, since it uses less digits than its factorization.

300228120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 300228120 is about 17327.0920814775. The cubic root of 300228120 is about 669.6025860308.

The spelling of 300228120 in words is "three hundred million, two hundred twenty-eight thousand, one hundred twenty".