112474414272 has 448 divisors, whose sum is σ = 357871288320. Its totient is φ = 30777753600.

The previous prime is 112474414271. The next prime is 112474414313. The reversal of 112474414272 is 272414474211.

112474414272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112474414272.

It is not an unprimeable number, because it can be changed into a prime (112474414271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154709973 + ... + 154710699.

It is an arithmetic number, because the mean of its divisors is an integer number (798819840).

Almost surely, 2^112474414272 is an apocalyptic number.

112474414272 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 112474414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178935644160).

112474414272 is an abundant number, since it is smaller than the sum of its proper divisors (245396874048).

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

112474414272 is a wasteful number, since it uses less digits than its factorization.

112474414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 930 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

Adding to 112474414272 its reverse (272414474211), we get a palindrome (384888888483).

The spelling of 112474414272 in words is "one hundred twelve billion, four hundred seventy-four million, four hundred fourteen thousand, two hundred seventy-two".