112113000 has 96 divisors (see below), whose sum is σ = 378972360. Its totient is φ = 29894400.

The previous prime is 112112999. The next prime is 112113007. The reversal of 112113000 is 311211.

It can be written as a sum of positive squares in 4 ways, for example, as 51926436 + 60186564 = 7206^2 + 7758^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112113007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772 + ... + 15228.

Almost surely, 2^112113000 is an apocalyptic number.

112113000 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 112113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189486180).

112113000 is an abundant number, since it is smaller than the sum of its proper divisors (266859360).

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

112113000 is a wasteful number, since it uses less digits than its factorization.

112113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12484 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 112113000 is about 10588.3426465146. The cubic root of 112113000 is about 482.1905091056.

Adding to 112113000 its reverse (311211), we get a palindrome (112424211).

The spelling of 112113000 in words is "one hundred twelve million, one hundred thirteen thousand".