213120600 has 288 divisors, whose sum is σ = 839678400. Its totient is φ = 44217600.

The previous prime is 213120577. The next prime is 213120601. The reversal of 213120600 is 6021312.

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 213120600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323071 + ... + 323729.

It is an arithmetic number, because the mean of its divisors is an integer number (2915550).

Almost surely, 2^213120600 is an apocalyptic number.

213120600 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 213120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419839200).

213120600 is an abundant number, since it is smaller than the sum of its proper divisors (626557800).

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

213120600 is a wasteful number, since it uses less digits than its factorization.

213120600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213120600 is about 14598.6506225747. The cubic root of 213120600 is about 597.3219534507.

Adding to 213120600 its reverse (6021312), we get a palindrome (219141912).

The spelling of 213120600 in words is "two hundred thirteen million, one hundred twenty thousand, six hundred".