112112221112000 has 224 divisors, whose sum is σ = 294313550072256. Its totient is φ = 42158782464000.

The previous prime is 112112221111937. The next prime is 112112221112053. The reversal of 112112221112000 is 211122211211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 112112221112000.

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 31 ways as a sum of consecutive naturals, for example, 118802015 + ... + 119741985.

Almost surely, 2^{112112221112000} is an apocalyptic number.

112112221112000 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 112112221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147156775036128).

112112221112000 is an abundant number, since it is smaller than the sum of its proper divisors (182201328960256).

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

112112221112000 is an equidigital number, since it uses as much as digits as its factorization.

112112221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940892 (or 940872 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112112221112000 its reverse (211122211211), we get a palindrome (112323343323211).

The spelling of 112112221112000 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand".