5301120 has 128 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 1280000.

The previous prime is 5301097. The next prime is 5301143. The reversal of 5301120 is 211035.

It is an interprime number because it is at equal distance from previous prime (5301097) and next prime (5301143).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 5301096 and 5301105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20995 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 2^5301120 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 5301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

5301120 is an abundant number, since it is smaller than the sum of its proper divisors (13205760).

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

5301120 is a wasteful number, since it uses less digits than its factorization.

5301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5301120 is about 2302.4161222507. The cubic root of 5301120 is about 174.3636206138.

Adding to 5301120 its reverse (211035), we get a palindrome (5512155).

The spelling of 5301120 in words is "five million, three hundred one thousand, one hundred twenty".