501120 has 128 divisors (see below), whose sum is σ = 1836000. Its totient is φ = 129024.

The previous prime is 501103. The next prime is 501121. The reversal of 501120 is 21105.

It is a happy number.

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

It is a super-2 number, since 2×501120² = 502242508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501121) by changing a digit.

501120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17266 + ... + 17294.

2⁵⁰¹¹²⁰ 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 501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918000).

501120 is an abundant number, since it is smaller than the sum of its proper divisors (1334880).

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

501120 is a wasteful number, since it uses less digits than its factorization.

501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 501120 is about 707.8982977801. The cubic root of 501120 is about 79.4292713763.

Adding to 501120 its reverse (21105), we get a palindrome (522225).

The spelling of 501120 in words is "five hundred one thousand, one hundred twenty".