112412464224 has 96 divisors (see below), whose sum is σ = 300527345664. Its totient is φ = 36783989760.

The previous prime is 112412464207. The next prime is 112412464231. The reversal of 112412464224 is 422464214211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112412464224² (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 15 ways as a sum of consecutive naturals, for example, 1552737 + ... + 1623519.

It is an arithmetic number, because the mean of its divisors is an integer number (3130493184).

Almost surely, 2^112412464224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112412464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150263672832).

112412464224 is an abundant number, since it is smaller than the sum of its proper divisors (188114881440).

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

112412464224 is a wasteful number, since it uses less digits than its factorization.

112412464224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71100 (or 71092 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 112412464224 its reverse (422464214211), we get a palindrome (534876678435).

The spelling of 112412464224 in words is "one hundred twelve billion, four hundred twelve million, four hundred sixty-four thousand, two hundred twenty-four".