20013120 has 84 divisors (see below), whose sum is σ = 68846700. Its totient is φ = 5336064.

The previous prime is 20013109. The next prime is 20013121. The reversal of 20013120 is 2131002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 7225344 = 3576^2 + 2688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595 + ... + 6354.

Almost surely, 2^20013120 is an apocalyptic number.

20013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34423350).

20013120 is an abundant number, since it is smaller than the sum of its proper divisors (48833580).

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

20013120 is a wasteful number, since it uses less digits than its factorization.

20013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20013120 is about 4473.6025751066. The cubic root of 20013120 is about 271.5011039504.

Adding to 20013120 its reverse (2131002), we get a palindrome (22144122).

The spelling of 20013120 in words is "twenty million, thirteen thousand, one hundred twenty".