112144435200 has 720 divisors, whose sum is σ = 474818984640. Its totient is φ = 25626378240.

The previous prime is 112144435171. The next prime is 112144435217. The reversal of 112144435200 is 2534441211.

112144435200 is a `hidden beast` number, since 1 + 1 + 2 + 14 + 443 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29028469 + ... + 29032331.

It is an arithmetic number, because the mean of its divisors is an integer number (659470812).

Almost surely, 2^112144435200 is an apocalyptic number.

112144435200 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 112144435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237409492320).

112144435200 is an abundant number, since it is smaller than the sum of its proper divisors (362674549440).

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

112144435200 is an equidigital number, since it uses as much as digits as its factorization.

112144435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 112144435200 its reverse (2534441211), we get a palindrome (114678876411).

The spelling of 112144435200 in words is "one hundred twelve billion, one hundred forty-four million, four hundred thirty-five thousand, two hundred".