210120080 has 120 divisors (see below), whose sum is σ = 528950520. Its totient is φ = 77486080.

The previous prime is 210120041. The next prime is 210120083. The reversal of 210120080 is 80021012.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 209554576 = 752^2 + 14476^2 .

It is not an unprimeable number, because it can be changed into a prime (210120083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4470617 + ... + 4470663.

It is an arithmetic number, because the mean of its divisors is an integer number (4407921).

Almost surely, 2^210120080 is an apocalyptic number.

210120080 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 210120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264475260).

210120080 is an abundant number, since it is smaller than the sum of its proper divisors (318830440).

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

210120080 is a wasteful number, since it uses less digits than its factorization.

210120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 210120080 is about 14495.5193077033. The cubic root of 210120080 is about 594.5054667285.

Adding to 210120080 its reverse (80021012), we get a palindrome (290141092).

The spelling of 210120080 in words is "two hundred ten million, one hundred twenty thousand, eighty".