112305223680 has 384 divisors, whose sum is σ = 400310164800. Its totient is φ = 26688356352.

The previous prime is 112305223673. The next prime is 112305223687. The reversal of 112305223680 is 86322503211.

It is an interprime number because it is at equal distance from previous prime (112305223673) and next prime (112305223687).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×112305223680² (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 (112305223687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11576592 + ... + 11586288.

Almost surely, 2^112305223680 is an apocalyptic number.

112305223680 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 112305223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200155082400).

112305223680 is an abundant number, since it is smaller than the sum of its proper divisors (288004941120).

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

112305223680 is a wasteful number, since it uses less digits than its factorization.

112305223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 112305223680 its reverse (86322503211), we get a palindrome (198627726891).

The spelling of 112305223680 in words is "one hundred twelve billion, three hundred five million, two hundred twenty-three thousand, six hundred eighty".