112300342321200 has 240 divisors, whose sum is σ = 392840373142656. Its totient is φ = 27196457062400.

The previous prime is 112300342321157. The next prime is 112300342321253. The reversal of 112300342321200 is 2123243003211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×112300342321200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8542459 + ... + 17250341.

Almost surely, 2^{112300342321200} is an apocalyptic number.

112300342321200 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 112300342321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196420186571328).

112300342321200 is an abundant number, since it is smaller than the sum of its proper divisors (280540030821456).

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

112300342321200 is a wasteful number, since it uses less digits than its factorization.

112300342321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8708892 (or 8708881 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112300342321200 its reverse (2123243003211), we get a palindrome (114423585324411).

The spelling of 112300342321200 in words is "one hundred twelve trillion, three hundred billion, three hundred forty-two million, three hundred twenty-one thousand, two hundred".