112301838720 has 256 divisors, whose sum is σ = 415030003200. Its totient is φ = 28645005312.

The previous prime is 112301838641. The next prime is 112301838763. The reversal of 112301838720 is 27838103211.

112301838720 is a `hidden beast` number, since 11 + 230 + 18 + 387 + 20 = 666.

It is a super-2 number, since 2×112301838720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256159 + ... + 538721.

It is an arithmetic number, because the mean of its divisors is an integer number (1621210950).

Almost surely, 2^112301838720 is an apocalyptic number.

112301838720 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 112301838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207515001600).

112301838720 is an abundant number, since it is smaller than the sum of its proper divisors (302728164480).

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

112301838720 is a wasteful number, since it uses less digits than its factorization.

112301838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282614 (or 282596 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 112301838720 in words is "one hundred twelve billion, three hundred one million, eight hundred thirty-eight thousand, seven hundred twenty".