200012034000000 has 896 divisors, whose sum is σ = 674597052547200. Its totient is φ = 52499865600000.

The previous prime is 200012033999881. The next prime is 200012034000011. The reversal of 200012034000000 is 430210002.

200012034000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200012034000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 106445999061 + ... + 106446000939.

Almost surely, 2^{200012034000000} is an apocalyptic number.

200012034000000 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 200012034000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337298526273600).

200012034000000 is an abundant number, since it is smaller than the sum of its proper divisors (474585018547200).

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

200012034000000 is an equidigital number, since it uses as much as digits as its factorization.

200012034000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2159 counting only the distinct ones).

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

Adding to 200012034000000 its reverse (430210002), we get a palindrome (200012464210002).

The spelling of 200012034000000 in words is "two hundred trillion, twelve billion, thirty-four million", and thus it is an aban number.