212318208400 has 45 divisors (see below), whose sum is σ = 510116637121. Its totient is φ = 84923597120.

The previous prime is 212318208329. The next prime is 212318208439. The reversal of 212318208400 is 4802813212.

It is a happy number.

The square root of 212318208400 is 460780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76434555024 + 135883653376 = 276468^2 + 368624^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 9204081 + ... + 9227119.

Almost surely, 2^212318208400 is an apocalyptic number.

212318208400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212318208400 is the 460780-th square number.

It is an amenable number.

212318208400 is an abundant number, since it is smaller than the sum of its proper divisors (297798428721).

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

212318208400 is an frugal number, since it uses more digits than its factorization.

212318208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46096 (or 23046 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 212318208400 in words is "two hundred twelve billion, three hundred eighteen million, two hundred eight thousand, four hundred".