212000313203200 has 120 divisors (see below), whose sum is σ = 529895548635948. Its totient is φ = 84049681121280.

The previous prime is 212000313203191. The next prime is 212000313203209. The reversal of 212000313203200 is 2302313000212.

It is an interprime number because it is at equal distance from previous prime (212000313203191) and next prime (212000313203209).

It can be written as a sum of positive squares in 6 ways, for example, as 211202746624 + 211789110456576 = 459568^2 + 14552976^2 .

It is not an unprimeable number, because it can be changed into a prime (212000313203209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71839107 + ... + 74731906.

Almost surely, 2^{212000313203200} is an apocalyptic number.

212000313203200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000313203200 is an abundant number, since it is smaller than the sum of its proper divisors (317895235432748).

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

212000313203200 is a wasteful number, since it uses less digits than its factorization.

212000313203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146571154 (or 146571133 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 212000313203200 its reverse (2302313000212), we get a palindrome (214302626203412).

The spelling of 212000313203200 in words is "two hundred twelve trillion, three hundred thirteen million, two hundred three thousand, two hundred".