112301022312 has 192 divisors, whose sum is σ = 322403328000. Its totient is φ = 35241478272.

The previous prime is 112301022307. The next prime is 112301022343. The reversal of 112301022312 is 213220103211.

It is a super-3 number, since 3×112301022312³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48011239 + ... + 48013577.

It is an arithmetic number, because the mean of its divisors is an integer number (1679184000).

Almost surely, 2^112301022312 is an apocalyptic number.

112301022312 is a gapful number since it is divisible by the number (12) 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 112301022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161201664000).

112301022312 is an abundant number, since it is smaller than the sum of its proper divisors (210102305688).

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

112301022312 is a wasteful number, since it uses less digits than its factorization.

112301022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112301022312 its reverse (213220103211), we get a palindrome (325521125523).

The spelling of 112301022312 in words is "one hundred twelve billion, three hundred one million, twenty-two thousand, three hundred twelve".