112220441894400 has 960 divisors, whose sum is σ = 431629269958656. Its totient is φ = 25172766720000.

The previous prime is 112220441894357. The next prime is 112220441894401. The reversal of 112220441894400 is 4498144022211.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220441894401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3368853745 + ... + 3368887055.

Almost surely, 2^{112220441894400} is an apocalyptic number.

112220441894400 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 112220441894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215814634979328).

112220441894400 is an abundant number, since it is smaller than the sum of its proper divisors (319408828064256).

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

112220441894400 is a wasteful number, since it uses less digits than its factorization.

112220441894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33583 (or 33562 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 112220441894400 in words is "one hundred twelve trillion, two hundred twenty billion, four hundred forty-one million, eight hundred ninety-four thousand, four hundred".