501122020 has 72 divisors (see below), whose sum is σ = 1232345016. Its totient is φ = 170666496.

The previous prime is 501121931. The next prime is 501122021. The reversal of 501122020 is 20221105.

It can be written as a sum of positive squares in 4 ways, for example, as 81036004 + 420086016 = 9002^2 + 20496^2 .

It is a super-2 number, since 2×501122020² = 502246557857760800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501122021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 152232 + ... + 155488.

It is an arithmetic number, because the mean of its divisors is an integer number (17115903).

Almost surely, 2^501122020 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 501122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616172508).

501122020 is an abundant number, since it is smaller than the sum of its proper divisors (731222996).

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

501122020 is a wasteful number, since it uses less digits than its factorization.

501122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 501122020 is about 22385.7548454369. The cubic root of 501122020 is about 794.2937810186.

Adding to 501122020 its reverse (20221105), we get a palindrome (521343125).

The spelling of 501122020 in words is "five hundred one million, one hundred twenty-two thousand, twenty".