112243214400 has 336 divisors, whose sum is σ = 389441740800. Its totient is φ = 28223907840.

The previous prime is 112243214339. The next prime is 112243214407. The reversal of 112243214400 is 4412342211.

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

It is not an unprimeable number, because it can be changed into a prime (112243214407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20334841 + ... + 20340359.

It is an arithmetic number, because the mean of its divisors is an integer number (1159052800).

Almost surely, 2^112243214400 is an apocalyptic number.

112243214400 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 112243214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194720870400).

112243214400 is an abundant number, since it is smaller than the sum of its proper divisors (277198526400).

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

112243214400 is a wasteful number, since it uses less digits than its factorization.

112243214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112243214400 its reverse (4412342211), we get a palindrome (116655556611).

The spelling of 112243214400 in words is "one hundred twelve billion, two hundred forty-three million, two hundred fourteen thousand, four hundred".