112400000000 has 198 divisors, whose sum is σ = 281862160374. Its totient is φ = 44800000000.

The previous prime is 112399999997. The next prime is 112400000003. The reversal of 112400000000 is 4211.

112400000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112399999997) and next prime (112400000003).

It can be written as a sum of positive squares in 9 ways, for example, as 46683652096 + 65716347904 = 216064^2 + 256352^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (112400000003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399999860 + ... + 400000140.

Almost surely, 2^112400000000 is an apocalyptic number.

112400000000 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 112400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140931080187).

112400000000 is an abundant number, since it is smaller than the sum of its proper divisors (169462160374).

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

112400000000 is an frugal number, since it uses more digits than its factorization.

112400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 112400000000 its reverse (4211), we get a palindrome (112400004211).

The spelling of 112400000000 in words is "one hundred twelve billion, four hundred million", and thus it is an aban number.