112340400 has 120 divisors (see below), whose sum is σ = 362566080. Its totient is φ = 29733120.

The previous prime is 112340377. The next prime is 112340429. The reversal of 112340400 is 4043211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×112340400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112340400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214539 + ... + 215061.

It is an arithmetic number, because the mean of its divisors is an integer number (3021384).

Almost surely, 2^112340400 is an apocalyptic number.

112340400 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 112340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181283040).

112340400 is an abundant number, since it is smaller than the sum of its proper divisors (250225680).

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

112340400 is a wasteful number, since it uses less digits than its factorization.

112340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 112340400 is about 10599.0754313761. The cubic root of 112340400 is about 482.5162996632.

Adding to 112340400 its reverse (4043211), we get a palindrome (116383611).

The spelling of 112340400 in words is "one hundred twelve million, three hundred forty thousand, four hundred".