112471361982720 has 2592 divisors, whose sum is σ = 464237556636672. Its totient is φ = 25890917842944.

The previous prime is 112471361982667. The next prime is 112471361982779. The reversal of 112471361982720 is 27289163174211.

It is a happy number.

112471361982720 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 7 + 1 + 361 + 9 + 8 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 118018217764 + ... + 118018218716.

It is an arithmetic number, because the mean of its divisors is an integer number (179103995616).

Almost surely, 2^{112471361982720} is an apocalyptic number.

112471361982720 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 112471361982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232118778318336).

112471361982720 is an abundant number, since it is smaller than the sum of its proper divisors (351766194653952).

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

112471361982720 is an frugal number, since it uses more digits than its factorization.

112471361982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 112471361982720 in words is "one hundred twelve trillion, four hundred seventy-one billion, three hundred sixty-one million, nine hundred eighty-two thousand, seven hundred twenty".