112684127472 has 480 divisors, whose sum is σ = 384611335680. Its totient is φ = 30116136960.

The previous prime is 112684127389. The next prime is 112684127551. The reversal of 112684127472 is 274721486211.

112684127472 is a `hidden beast` number, since 11 + 268 + 41 + 274 + 72 = 666.

It is a super-2 number, since 2×112684127472² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197344947 + ... + 197345517.

It is an arithmetic number, because the mean of its divisors is an integer number (801273616).

Almost surely, 2^112684127472 is an apocalyptic number.

112684127472 is a gapful number since it is divisible by the number (12) 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 112684127472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192305667840).

112684127472 is an abundant number, since it is smaller than the sum of its proper divisors (271927208208).

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

112684127472 is a wasteful number, since it uses less digits than its factorization.

112684127472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 112684127472 in words is "one hundred twelve billion, six hundred eighty-four million, one hundred twenty-seven thousand, four hundred seventy-two".