201212200202000 has 160 divisors (see below), whose sum is σ = 529144265037024. Its totient is φ = 73558152960000.

The previous prime is 201212200201981. The next prime is 201212200202003. The reversal of 201212200202000 is 202002212102.

201212200202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 99538373979664 + 101673826222336 = 9976892^2 + 10083344^2 .

It is not an unprimeable number, because it can be changed into a prime (201212200202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35685539 + ... + 40937538.

Almost surely, 2^{201212200202000} is an apocalyptic number.

201212200202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212200202000 is an abundant number, since it is smaller than the sum of its proper divisors (327932064835024).

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

201212200202000 is a wasteful number, since it uses less digits than its factorization.

201212200202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76623214 (or 76623198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201212200202000 its reverse (202002212102), we get a palindrome (201414202414102).

The spelling of 201212200202000 in words is "two hundred one trillion, two hundred twelve billion, two hundred million, two hundred two thousand".