112200222212100 has 216 divisors, whose sum is σ = 406224805135968. Its totient is φ = 25600050662400.

The previous prime is 112200222212087. The next prime is 112200222212123. The reversal of 112200222212100 is 1212222002211.

It is a happy number.

112200222212100 is a `hidden beast` number, since 1 + 1 + 220 + 0 + 222 + 212 + 10 + 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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333165694 + ... + 333502293.

It is an arithmetic number, because the mean of its divisors is an integer number (1880670394148).

Almost surely, 2^{112200222212100} is an apocalyptic number.

112200222212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112200222212100 is an abundant number, since it is smaller than the sum of its proper divisors (294024582923868).

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

112200222212100 is a wasteful number, since it uses less digits than its factorization.

112200222212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666668035 (or 666668025 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112200222212100 its reverse (1212222002211), we get a palindrome (113412444214311).

The spelling of 112200222212100 in words is "one hundred twelve trillion, two hundred billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".