200112000012000 has 384 divisors, whose sum is σ = 729068501790720. Its totient is φ = 53314788211200.

The previous prime is 200112000011999. The next prime is 200112000012011. The reversal of 200112000012000 is 210000211002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118284069 + ... + 119963931.

It is an arithmetic number, because the mean of its divisors is an integer number (1898615890080).

Almost surely, 2^{200112000012000} is an apocalyptic number.

200112000012000 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 200112000012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364534250895360).

200112000012000 is an abundant number, since it is smaller than the sum of its proper divisors (528956501778720).

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

200112000012000 is a wasteful number, since it uses less digits than its factorization.

200112000012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681000 (or 1680976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200112000012000 its reverse (210000211002), we get a palindrome (200322000223002).

The spelling of 200112000012000 in words is "two hundred trillion, one hundred twelve billion, twelve thousand".