212304000 has 128 divisors (see below), whose sum is σ = 703946880. Its totient is φ = 56601600.

The previous prime is 212303999. The next prime is 212304011. The reversal of 212304000 is 403212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45789 + ... + 50211.

It is an arithmetic number, because the mean of its divisors is an integer number (5499585).

Almost surely, 2^212304000 is an apocalyptic number.

212304000 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 212304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351973440).

212304000 is an abundant number, since it is smaller than the sum of its proper divisors (491642880).

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

212304000 is an equidigital number, since it uses as much as digits as its factorization.

212304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212304000 is about 14570.6554416745. The cubic root of 212304000 is about 596.5580707384.

Adding to 212304000 its reverse (403212), we get a palindrome (212707212).

The spelling of 212304000 in words is "two hundred twelve million, three hundred four thousand".