112340000 has 120 divisors (see below), whose sum is σ = 285180588. Its totient is φ = 43520000.

The previous prime is 112339991. The next prime is 112340017. The reversal of 112340000 is 43211.

It is a happy number.

112340000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 10 ways, for example, as 27920656 + 84419344 = 5284^2 + 9188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 819932 + ... + 820068.

Almost surely, 2^112340000 is an apocalyptic number.

112340000 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 112340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142590294).

112340000 is an abundant number, since it is smaller than the sum of its proper divisors (172840588).

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

112340000 is an equidigital number, since it uses as much as digits as its factorization.

112340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 112340000 is about 10599.0565617889. The cubic root of 112340000 is about 482.5157269789.

Adding to 112340000 its reverse (43211), we get a palindrome (112383211).

The spelling of 112340000 in words is "one hundred twelve million, three hundred forty thousand".