112305315200 has 96 divisors (see below), whose sum is σ = 298770044160. Its totient is φ = 41466562560.

The previous prime is 112305315191. The next prime is 112305315209. The reversal of 112305315200 is 2513503211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112305315191) and next prime (112305315209).

It is a super-2 number, since 2×112305315200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112305315209) 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 11 ways as a sum of consecutive naturals, for example, 1308224 + ... + 1391423.

It is an arithmetic number, because the mean of its divisors is an integer number (3112187960).

Almost surely, 2^112305315200 is an apocalyptic number.

112305315200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112305315200 is an abundant number, since it is smaller than the sum of its proper divisors (186464728960).

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

112305315200 is a wasteful number, since it uses less digits than its factorization.

112305315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699684 (or 2699667 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 112305315200 its reverse (2513503211), we get a palindrome (114818818411).

The spelling of 112305315200 in words is "one hundred twelve billion, three hundred five million, three hundred fifteen thousand, two hundred".