112301242333344 has 288 divisors, whose sum is σ = 335130005822976. Its totient is φ = 35629675683840.

The previous prime is 112301242333327. The next prime is 112301242333363. The reversal of 112301242333344 is 443333242103211.

112301242333344 is a `hidden beast` number, since 1 + 1 + 2 + 301 + 2 + 4 + 2 + 3 + 3 + 3 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112301242333344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112301242333299 and 112301242333308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045182664 + ... + 1045290104.

It is an arithmetic number, because the mean of its divisors is an integer number (1163645853552).

Almost surely, 2^{112301242333344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112301242333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167565002911488).

112301242333344 is an abundant number, since it is smaller than the sum of its proper divisors (222828763489632).

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

112301242333344 is a wasteful number, since it uses less digits than its factorization.

112301242333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109628 (or 109617 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 112301242333344 its reverse (443333242103211), we get a palindrome (555634484436555).

The spelling of 112301242333344 in words is "one hundred twelve trillion, three hundred one billion, two hundred forty-two million, three hundred thirty-three thousand, three hundred forty-four".