212012012000200 has 48 divisors (see below), whose sum is σ = 495430100215380. Its totient is φ = 84374323541760.

The previous prime is 212012012000179. The next prime is 212012012000209. The reversal of 212012012000200 is 2000210210212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 65017677729316 + 146994334270884 = 8063354^2 + 12124122^2 .

It is not an unprimeable number, because it can be changed into a prime (212012012000209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2690468367 + ... + 2690547166.

Almost surely, 2^{212012012000200} is an apocalyptic number.

212012012000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012012000200 is an abundant number, since it is smaller than the sum of its proper divisors (283418088215180).

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

212012012000200 is a wasteful number, since it uses less digits than its factorization.

212012012000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5381015746 (or 5381015737 counting only the distinct ones).

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

Adding to 212012012000200 its reverse (2000210210212), we get a palindrome (214012222210412).

The spelling of 212012012000200 in words is "two hundred twelve trillion, twelve billion, twelve million, two hundred", and thus it is an aban number.