12200112120200 has 72 divisors (see below), whose sum is σ = 29652153670650. Its totient is φ = 4667868944640.

The previous prime is 12200112120179. The next prime is 12200112120221. The reversal of 12200112120200 is 202121100221.

It is an interprime number because it is at equal distance from previous prime (12200112120179) and next prime (12200112120221).

It can be written as a sum of positive squares in 3 ways, for example, as 7002596722564 + 5197515397636 = 2646242^2 + 2279806^2 .

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 17 ways as a sum of consecutive naturals, for example, 57550685 + ... + 57762284.

Almost surely, 2^{12200112120200} is an apocalyptic number.

12200112120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200112120200 is an abundant number, since it is smaller than the sum of its proper divisors (17452041550450).

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

12200112120200 is a wasteful number, since it uses less digits than its factorization.

12200112120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115313031 (or 115312999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12200112120200 its reverse (202121100221), we get a palindrome (12402233220421).

The spelling of 12200112120200 in words is "twelve trillion, two hundred billion, one hundred twelve million, one hundred twenty thousand, two hundred".