301042120 has 64 divisors (see below), whose sum is σ = 730807920. Its totient is φ = 111181824.

The previous prime is 301042087. The next prime is 301042123. The reversal of 301042120 is 21240103.

It can be written as a sum of positive squares in 8 ways, for example, as 228553924 + 72488196 = 15118^2 + 8514^2 .

It is a super-3 number, since 3×301042120³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 301042120.

It is not an unprimeable number, because it can be changed into a prime (301042123) 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 15 ways as a sum of consecutive naturals, for example, 31864 + ... + 40216.

Almost surely, 2^301042120 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 301042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365403960).

301042120 is an abundant number, since it is smaller than the sum of its proper divisors (429765800).

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

301042120 is a wasteful number, since it uses less digits than its factorization.

301042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 301042120 is about 17350.5654086546. The cubic root of 301042120 is about 670.2071981137.

Adding to 301042120 its reverse (21240103), we get a palindrome (322282223).

The spelling of 301042120 in words is "three hundred one million, forty-two thousand, one hundred twenty".