112312333200 has 240 divisors, whose sum is σ = 369166996800. Its totient is φ = 29170483200.

The previous prime is 112312333181. The next prime is 112312333201. The reversal of 112312333200 is 2333213211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×112312333200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112312333201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36357256 + ... + 36360344.

It is an arithmetic number, because the mean of its divisors is an integer number (1538195820).

Almost surely, 2^112312333200 is an apocalyptic number.

112312333200 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 112312333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184583498400).

112312333200 is an abundant number, since it is smaller than the sum of its proper divisors (256854663600).

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

112312333200 is a wasteful number, since it uses less digits than its factorization.

112312333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 112312333200 its reverse (2333213211), we get a palindrome (114645546411).

The spelling of 112312333200 in words is "one hundred twelve billion, three hundred twelve million, three hundred thirty-three thousand, two hundred".