112222111211100 has 576 divisors, whose sum is σ = 399357899458560. Its totient is φ = 27141988032000.

The previous prime is 112222111211081. The next prime is 112222111211213. The reversal of 112222111211100 is 1112111222211.

It is a happy number.

112222111211100 is a `hidden beast` number, since 1 + 1 + 222 + 211 + 121 + 110 + 0 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1036802584 + ... + 1036910816.

It is an arithmetic number, because the mean of its divisors is an integer number (693329686560).

Almost surely, 2^{112222111211100} is an apocalyptic number.

112222111211100 is a gapful number since it is divisible by the number (10) 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 112222111211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199678949729280).

112222111211100 is an abundant number, since it is smaller than the sum of its proper divisors (287135788247460).

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

112222111211100 is a wasteful number, since it uses less digits than its factorization.

112222111211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108710 (or 108685 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112222111211100 its reverse (1112111222211), we get a palindrome (113334222433311).

It can be divided in two parts, 1122221 and 11211100, that added together give a palindrome (12333321).

The spelling of 112222111211100 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred eleven million, two hundred eleven thousand, one hundred".