112112220000 has 480 divisors, whose sum is σ = 412114881024. Its totient is φ = 26438400000.

The previous prime is 112112219909. The next prime is 112112220047. The reversal of 112112220000 is 22211211.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 24417705 + ... + 24422295.

Almost surely, 2^112112220000 is an apocalyptic number.

112112220000 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 112112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206057440512).

112112220000 is an abundant number, since it is smaller than the sum of its proper divisors (300002661024).

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

112112220000 is a wasteful number, since it uses less digits than its factorization.

112112220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4649 counting only the distinct ones).

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

Adding to 112112220000 its reverse (22211211), we get a palindrome (112134431211).

The spelling of 112112220000 in words is "one hundred twelve billion, one hundred twelve million, two hundred twenty thousand".