112781980080 has 720 divisors, whose sum is σ = 478994967360. Its totient is φ = 23277957120.

The previous prime is 112781980043. The next prime is 112781980081. The reversal of 112781980080 is 80089187211.

It is a happy number.

112781980080 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 (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (112781980081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105501786 + ... + 105502854.

It is an arithmetic number, because the mean of its divisors is an integer number (665270788).

Almost surely, 2^112781980080 is an apocalyptic number.

112781980080 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 112781980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239497483680).

112781980080 is an abundant number, since it is smaller than the sum of its proper divisors (366212987280).

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

112781980080 is a wasteful number, since it uses less digits than its factorization.

112781980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 112781980080 in words is "one hundred twelve billion, seven hundred eighty-one million, nine hundred eighty thousand, eighty".