112530000000 has 768 divisors, whose sum is σ = 423936414720. Its totient is φ = 26400000000.

The previous prime is 112529999947. The next prime is 112530000007. The reversal of 112530000000 is 35211.

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

It is not an unprimeable number, because it can be changed into a prime (112530000007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3629999985 + ... + 3630000015.

It is an arithmetic number, because the mean of its divisors is an integer number (552000540).

Almost surely, 2^112530000000 is an apocalyptic number.

112530000000 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 112530000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211968207360).

112530000000 is an abundant number, since it is smaller than the sum of its proper divisors (311406414720).

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

112530000000 is an frugal number, since it uses more digits than its factorization.

112530000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 112530000000 its reverse (35211), we get a palindrome (112530035211).

The spelling of 112530000000 in words is "one hundred twelve billion, five hundred thirty million", and thus it is an aban number.