210113120 has 96 divisors (see below), whose sum is σ = 586958400. Its totient is φ = 69543936.

The previous prime is 210113083. The next prime is 210113129. The reversal of 210113120 is 21311012.

210113120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210113120² = 88295046392268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210113129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29246 + ... + 35714.

It is an arithmetic number, because the mean of its divisors is an integer number (6114150).

Almost surely, 2^210113120 is an apocalyptic number.

210113120 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 210113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293479200).

210113120 is an abundant number, since it is smaller than the sum of its proper divisors (376845280).

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

210113120 is a wasteful number, since it uses less digits than its factorization.

210113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 210113120 is about 14495.2792315291. The cubic root of 210113120 is about 594.4989025396.

Adding to 210113120 its reverse (21311012), we get a palindrome (231424132).

The spelling of 210113120 in words is "two hundred ten million, one hundred thirteen thousand, one hundred twenty".