112244143004200 has 192 divisors, whose sum is σ = 278006439150000. Its totient is φ = 42064747683840.

The previous prime is 112244143004177. The next prime is 112244143004209. The reversal of 112244143004200 is 2400341442211.

It can be written as a sum of positive squares in 24 ways, for example, as 12976118608644 + 99268024395556 = 3602238^2 + 9963334^2 .

It is not an unprimeable number, because it can be changed into a prime (112244143004209) 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 47 ways as a sum of consecutive naturals, for example, 79344676 + ... + 80746924.

Almost surely, 2^{112244143004200} is an apocalyptic number.

112244143004200 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 112244143004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139003219575000).

112244143004200 is an abundant number, since it is smaller than the sum of its proper divisors (165762296145800).

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

112244143004200 is a wasteful number, since it uses less digits than its factorization.

112244143004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402704 (or 1402695 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 112244143004200 its reverse (2400341442211), we get a palindrome (114644484446411).

The spelling of 112244143004200 in words is "one hundred twelve trillion, two hundred forty-four billion, one hundred forty-three million, four thousand, two hundred".