213421200 has 120 divisors (see below), whose sum is σ = 687122688. Its totient is φ = 56624640.

The previous prime is 213421177. The next prime is 213421207. The reversal of 213421200 is 2124312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213421200.

It is not an unprimeable number, because it can be changed into a prime (213421207) 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, 351297 + ... + 351903.

Almost surely, 2^213421200 is an apocalyptic number.

213421200 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 213421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343561344).

213421200 is an abundant number, since it is smaller than the sum of its proper divisors (473701488).

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

213421200 is a wasteful number, since it uses less digits than its factorization.

213421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213421200 is about 14608.9424668591. The cubic root of 213421200 is about 597.6026562178.

Adding to 213421200 its reverse (2124312), we get a palindrome (215545512).

The spelling of 213421200 in words is "two hundred thirteen million, four hundred twenty-one thousand, two hundred".