112479424512 has 832 divisors, whose sum is σ = 401333313024. Its totient is φ = 27179089920.

The previous prime is 112479424507. The next prime is 112479424513. The reversal of 112479424512 is 215424974211.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112479424513) 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, 1159581648 + ... + 1159581744.

Almost surely, 2^112479424512 is an apocalyptic number.

112479424512 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 112479424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200666656512).

112479424512 is an abundant number, since it is smaller than the sum of its proper divisors (288853888512).

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

112479424512 is a wasteful number, since it uses less digits than its factorization.

112479424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 112479424512 in words is "one hundred twelve billion, four hundred seventy-nine million, four hundred twenty-four thousand, five hundred twelve".