200012210120000 has 140 divisors (see below), whose sum is σ = 496110087669636. Its totient is φ = 79981524480000.

The previous prime is 200012210119993. The next prime is 200012210120017. The reversal of 200012210120000 is 21012210002.

It is a happy number.

200012210120000 is digitally balanced in base 3, 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 10 ways, for example, as 186807882101824 + 13204328018176 = 13667768^2 + 3633776^2 .

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 136591730 + ... + 138048270.

Almost surely, 2^{200012210120000} is an apocalyptic number.

200012210120000 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 200012210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248055043834818).

200012210120000 is an abundant number, since it is smaller than the sum of its proper divisors (296097877549636).

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

200012210120000 is an equidigital number, since it uses as much as digits as its factorization.

200012210120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460006 (or 1459981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200012210120000 its reverse (21012210002), we get a palindrome (200033222330002).

The spelling of 200012210120000 in words is "two hundred trillion, twelve billion, two hundred ten million, one hundred twenty thousand".