200112061584200 has 96 divisors (see below), whose sum is σ = 466869505392360. Its totient is φ = 79768038604800.

The previous prime is 200112061584173. The next prime is 200112061584221. The reversal of 200112061584200 is 2485160211002.

It can be written as a sum of positive squares in 12 ways, for example, as 44286123467524 + 155825938116676 = 6654782^2 + 12483026^2 .

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 23 ways as a sum of consecutive naturals, for example, 1575163082 + ... + 1575290118.

Almost surely, 2^{200112061584200} is an apocalyptic number.

200112061584200 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 200112061584200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233434752696180).

200112061584200 is an abundant number, since it is smaller than the sum of its proper divisors (266757443808160).

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

200112061584200 is a wasteful number, since it uses less digits than its factorization.

200112061584200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154227 (or 154218 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 200112061584200 in words is "two hundred trillion, one hundred twelve billion, sixty-one million, five hundred eighty-four thousand, two hundred".