212800000 has 240 divisors, whose sum is σ = 639334080. Its totient is φ = 69120000.

The previous prime is 212799989. The next prime is 212800001. The reversal of 212800000 is 8212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212800001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199991 + ... + 11200009.

It is an arithmetic number, because the mean of its divisors is an integer number (2663892).

Almost surely, 2^212800000 is an apocalyptic number.

212800000 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 212800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319667040).

212800000 is an abundant number, since it is smaller than the sum of its proper divisors (426534080).

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

212800000 is an frugal number, since it uses more digits than its factorization.

212800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 212800000 is about 14587.6660230484. Note that the first 3 decimals coincide. The cubic root of 212800000 is about 597.0222834914.

Adding to 212800000 its reverse (8212), we get a palindrome (212808212).

The spelling of 212800000 in words is "two hundred twelve million, eight hundred thousand".