112130400 has 144 divisors (see below), whose sum is σ = 384350400. Its totient is φ = 28316160.

The previous prime is 112130399. The next prime is 112130401. The reversal of 112130400 is 4031211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112130399) and next prime (112130401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112130401) 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, 44371 + ... + 46829.

It is an arithmetic number, because the mean of its divisors is an integer number (2669100).

Almost surely, 2^112130400 is an apocalyptic number.

112130400 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 112130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192175200).

112130400 is an abundant number, since it is smaller than the sum of its proper divisors (272220000).

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

112130400 is a wasteful number, since it uses less digits than its factorization.

112130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112130400 is about 10589.1642729726. The cubic root of 112130400 is about 482.2154532270.

Adding to 112130400 its reverse (4031211), we get a palindrome (116161611).

The spelling of 112130400 in words is "one hundred twelve million, one hundred thirty thousand, four hundred".