112825718800 has 120 divisors (see below), whose sum is σ = 278476004520. Its totient is φ = 43902566400.

The previous prime is 112825718777. The next prime is 112825718807. The reversal of 112825718800 is 8817528211.

It can be written as a sum of positive squares in 12 ways, for example, as 97286600464 + 15539118336 = 311908^2 + 124656^2 .

It is not an unprimeable number, because it can be changed into a prime (112825718807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5779456 + ... + 5798944.

It is an arithmetic number, because the mean of its divisors is an integer number (2320633371).

Almost surely, 2^112825718800 is an apocalyptic number.

112825718800 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 112825718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139238002260).

112825718800 is an abundant number, since it is smaller than the sum of its proper divisors (165650285720).

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

112825718800 is a wasteful number, since it uses less digits than its factorization.

112825718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19901 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 43.

The spelling of 112825718800 in words is "one hundred twelve billion, eight hundred twenty-five million, seven hundred eighteen thousand, eight hundred".