210420113200 has 270 divisors, whose sum is σ = 586503693132. Its totient is φ = 72483206400.

The previous prime is 210420113161. The next prime is 210420113209. The reversal of 210420113200 is 2311024012.

210420113200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (210420113209) 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 53 ways as a sum of consecutive naturals, for example, 17466379 + ... + 17478421.

Almost surely, 2^210420113200 is an apocalyptic number.

210420113200 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 210420113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293251846566).

210420113200 is an abundant number, since it is smaller than the sum of its proper divisors (376083579932).

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

210420113200 is a wasteful number, since it uses less digits than its factorization.

210420113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12121 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210420113200 its reverse (2311024012), we get a palindrome (212731137212).

The spelling of 210420113200 in words is "two hundred ten billion, four hundred twenty million, one hundred thirteen thousand, two hundred".