112048045200 has 1800 divisors, whose sum is σ = 517780688040. Its totient is φ = 22992076800.

The previous prime is 112048045183. The next prime is 112048045223. The reversal of 112048045200 is 2540840211.

112048045200 is a `hidden beast` number, since 1 + 1 + 204 + 8 + 0 + 452 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 97171852176 + 14876193024 = 311724^2 + 121968^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1258966756 + ... + 1258966844.

Almost surely, 2^112048045200 is an apocalyptic number.

112048045200 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 112048045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258890344020).

112048045200 is an abundant number, since it is smaller than the sum of its proper divisors (405732642840).

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

112048045200 is a wasteful number, since it uses less digits than its factorization.

112048045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 112048045200 its reverse (2540840211), we get a palindrome (114588885411).

The spelling of 112048045200 in words is "one hundred twelve billion, forty-eight million, forty-five thousand, two hundred".