112122112012200 has 144 divisors (see below), whose sum is σ = 383648019447420. Its totient is φ = 29335093432320.

The previous prime is 112122112012193. The next prime is 112122112012243. The reversal of 112122112012200 is 2210211221211.

112122112012200 is a `hidden beast` number, since 1 + 1 + 21 + 221 + 1 + 201 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 44586949603716 + 67535162408484 = 6677346^2 + 8217978^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 587546697 + ... + 587737496.

Almost surely, 2^{112122112012200} is an apocalyptic number.

112122112012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122112012200 is an abundant number, since it is smaller than the sum of its proper divisors (271525907435220).

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

112122112012200 is a wasteful number, since it uses less digits than its factorization.

112122112012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175284268 (or 1175284256 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112122112012200 its reverse (2210211221211), we get a palindrome (114332323233411).

The spelling of 112122112012200 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, twelve thousand, two hundred".