112144441200 has 240 divisors, whose sum is σ = 394248266496. Its totient is φ = 27023206400.

The previous prime is 112144441177. The next prime is 112144441207. The reversal of 112144441200 is 2144441211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112144441207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178964 + ... + 2229836.

Almost surely, 2^112144441200 is an apocalyptic number.

112144441200 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 112144441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197124133248).

112144441200 is an abundant number, since it is smaller than the sum of its proper divisors (282103825296).

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

112144441200 is a wasteful number, since it uses less digits than its factorization.

112144441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51072 (or 51061 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 112144441200 its reverse (2144441211), we get a palindrome (114288882411).

The spelling of 112144441200 in words is "one hundred twelve billion, one hundred forty-four million, four hundred forty-one thousand, two hundred".