112352513200 has 120 divisors (see below), whose sum is σ = 276996333600. Its totient is φ = 43767859200.

The previous prime is 112352513183. The next prime is 112352513209. The reversal of 112352513200 is 2315253211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (112352513209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9817882 + ... + 9829318.

It is an arithmetic number, because the mean of its divisors is an integer number (2308302780).

Almost surely, 2^112352513200 is an apocalyptic number.

112352513200 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 112352513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138498166800).

112352513200 is an abundant number, since it is smaller than the sum of its proper divisors (164643820400).

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

112352513200 is a wasteful number, since it uses less digits than its factorization.

112352513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095 (or 12084 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 112352513200 its reverse (2315253211), we get a palindrome (114667766411).

The spelling of 112352513200 in words is "one hundred twelve billion, three hundred fifty-two million, five hundred thirteen thousand, two hundred".