112301841229760 has 448 divisors, whose sum is σ = 343754445791232. Its totient is φ = 33965345931264.

The previous prime is 112301841229733. The next prime is 112301841229771. The reversal of 112301841229760 is 67922148103211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×112301841229760² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738669272 + ... + 738821288.

It is an arithmetic number, because the mean of its divisors is an integer number (767309030784).

Almost surely, 2^{112301841229760} is an apocalyptic number.

112301841229760 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 112301841229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171877222895616).

112301841229760 is an abundant number, since it is smaller than the sum of its proper divisors (231452604561472).

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

112301841229760 is a wasteful number, since it uses less digits than its factorization.

112301841229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153180 (or 153170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 112301841229760 in words is "one hundred twelve trillion, three hundred one billion, eight hundred forty-one million, two hundred twenty-nine thousand, seven hundred sixty".