112247280000 has 960 divisors, whose sum is σ = 429486520320. Its totient is φ = 28085760000.

The previous prime is 112247279981. The next prime is 112247280007. The reversal of 112247280000 is 82742211.

112247280000 is a `hidden beast` number, since 112 + 2 + 472 + 80 + 0 + 0 + 0 = 666.

112247280000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112247280007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1049039947 + ... + 1049040053.

It is an arithmetic number, because the mean of its divisors is an integer number (447381792).

Almost surely, 2^112247280000 is an apocalyptic number.

112247280000 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 112247280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214743260160).

112247280000 is an abundant number, since it is smaller than the sum of its proper divisors (317239240320).

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

112247280000 is a wasteful number, since it uses less digits than its factorization.

112247280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 112247280000 in words is "one hundred twelve billion, two hundred forty-seven million, two hundred eighty thousand".