112531320 has 192 divisors, whose sum is σ = 403734240. Its totient is φ = 26956800.

The previous prime is 112531291. The next prime is 112531327. The reversal of 112531320 is 23135211.

112531320 is a `hidden beast` number, since 112 + 531 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112531293 and 112531302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112531327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621630 + ... + 621810.

Almost surely, 2^112531320 is an apocalyptic number.

112531320 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 112531320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201867120).

112531320 is an abundant number, since it is smaller than the sum of its proper divisors (291202920).

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

112531320 is a wasteful number, since it uses less digits than its factorization.

112531320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 112531320 is about 10608.0780540115. The cubic root of 112531320 is about 482.7894868536.

Adding to 112531320 its reverse (23135211), we get a palindrome (135666531).

The spelling of 112531320 in words is "one hundred twelve million, five hundred thirty-one thousand, three hundred twenty".