112300586112 has 512 divisors, whose sum is σ = 371738787840. Its totient is φ = 29561241600.

The previous prime is 112300586063. The next prime is 112300586147. The reversal of 112300586112 is 211685003211.

It is a super-2 number, since 2×112300586112² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112300586112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62983173 + ... + 62984955.

It is an arithmetic number, because the mean of its divisors is an integer number (726052320).

Almost surely, 2^112300586112 is an apocalyptic number.

112300586112 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 112300586112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185869393920).

112300586112 is an abundant number, since it is smaller than the sum of its proper divisors (259438201728).

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

112300586112 is a wasteful number, since it uses less digits than its factorization.

112300586112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 112300586112 its reverse (211685003211), we get a palindrome (323985589323).

It can be divided in two parts, 11230058 and 6112, that added together give a triangular number (11236170 = T₄₇₄₀).

The spelling of 112300586112 in words is "one hundred twelve billion, three hundred million, five hundred eighty-six thousand, one hundred twelve".