301201120 has 96 divisors (see below), whose sum is σ = 791169120. Its totient is φ = 107427840.

The previous prime is 301201093. The next prime is 301201141. The reversal of 301201120 is 21102103.

It is a super-2 number, since 2×301201120² = 181444229378508800, which contains 22 as substring.

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 = 301201097 and 301201106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91666 + ... + 94894.

It is an arithmetic number, because the mean of its divisors is an integer number (8241345).

Almost surely, 2^301201120 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 301201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395584560).

301201120 is an abundant number, since it is smaller than the sum of its proper divisors (489968000).

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

301201120 is a wasteful number, since it uses less digits than its factorization.

301201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 301201120 is about 17355.1467870485. The cubic root of 301201120 is about 670.3251707405.

Adding to 301201120 its reverse (21102103), we get a palindrome (322303223).

The spelling of 301201120 in words is "three hundred one million, two hundred one thousand, one hundred twenty".