112121202112200 has 144 divisors (see below), whose sum is σ = 377294963370000. Its totient is φ = 29839069180800.

The previous prime is 112121202112151. The next prime is 112121202112211. The reversal of 112121202112200 is 2211202121211.

112121202112200 is a `hidden beast` number, since 1 + 1 + 21 + 212 + 0 + 211 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61516186 + ... + 63312585.

Almost surely, 2^{112121202112200} is an apocalyptic number.

112121202112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121202112200 is an abundant number, since it is smaller than the sum of its proper divisors (265173761257800).

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

112121202112200 is a wasteful number, since it uses less digits than its factorization.

112121202112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124829292 (or 124829280 counting only the distinct ones).

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

Adding to 112121202112200 its reverse (2211202121211), we get a palindrome (114332404233411).

The spelling of 112121202112200 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred two million, one hundred twelve thousand, two hundred".