112222110000000 has 4096 divisors, whose sum is σ = 518898171617280. Its totient is φ = 20736000000000.

The previous prime is 112222109999983. The next prime is 112222110000001. The reversal of 112222110000000 is 11222211.

112222110000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222110000001) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 1111109999950 + ... + 1111110000050.

It is an arithmetic number, because the mean of its divisors is an integer number (126684123930).

Almost surely, 2^{112222110000000} is an apocalyptic number.

112222110000000 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 112222110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259449085808640).

112222110000000 is an abundant number, since it is smaller than the sum of its proper divisors (406676061617280).

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

112222110000000 is an equidigital number, since it uses as much as digits as its factorization.

112222110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112222110000000 its reverse (11222211), we get a palindrome (112222121222211).

112222110000000 divided by its reverse (11222211) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 1122 and 22110000000, that added together give a palindrome (22110001122).

The spelling of 112222110000000 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred ten million", and thus it is an aban number.