112320100200000 has 1344 divisors, whose sum is σ = 467713096445952. Its totient is φ = 23107200000000.

The previous prime is 112320100199959. The next prime is 112320100200001. The reversal of 112320100200000 is 2001023211.

112320100200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112320100200001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4666187965 + ... + 4666212035.

It is an arithmetic number, because the mean of its divisors is an integer number (348000815808).

Almost surely, 2^{112320100200000} is an apocalyptic number.

112320100200000 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 112320100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233856548222976).

112320100200000 is an abundant number, since it is smaller than the sum of its proper divisors (355392996245952).

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

112320100200000 is a wasteful number, since it uses less digits than its factorization.

112320100200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24230 (or 24200 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112320100200000 its reverse (2001023211), we get a palindrome (112322101223211).

The spelling of 112320100200000 in words is "one hundred twelve trillion, three hundred twenty billion, one hundred million, two hundred thousand".