200112012112000 has 128 divisors (see below), whose sum is σ = 498111793124400. Its totient is φ = 79950960230400.

The previous prime is 200112012111937. The next prime is 200112012112021. The reversal of 200112012112000 is 211210211002.

It can be written as a sum of positive squares in 8 ways, for example, as 9876638714944 + 190235373397056 = 3142712^2 + 13792584^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6316816 + ... + 20979184.

Almost surely, 2^{200112012112000} is an apocalyptic number.

200112012112000 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 200112012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249055896562200).

200112012112000 is an abundant number, since it is smaller than the sum of its proper divisors (297999781012400).

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

200112012112000 is an equidigital number, since it uses as much as digits as its factorization.

200112012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663251 (or 14663229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200112012112000 its reverse (211210211002), we get a palindrome (200323222323002).

The spelling of 200112012112000 in words is "two hundred trillion, one hundred twelve billion, twelve million, one hundred twelve thousand".