112023112320000 has 3520 divisors, whose sum is σ = 505856474112000. Its totient is φ = 23911759872000.

The previous prime is 112023112319939. The next prime is 112023112320109. The reversal of 112023112320000 is 23211320211.

112023112320000 is a `hidden beast` number, since 1 + 120 + 2 + 311 + 232 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 319 ways as a sum of consecutive naturals, for example, 181560959692 + ... + 181560960308.

It is an arithmetic number, because the mean of its divisors is an integer number (143709225600).

Almost surely, 2^{112023112320000} is an apocalyptic number.

112023112320000 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 112023112320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252928237056000).

112023112320000 is an abundant number, since it is smaller than the sum of its proper divisors (393833361792000).

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

112023112320000 is an equidigital number, since it uses as much as digits as its factorization.

112023112320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112023112320000 its reverse (23211320211), we get a palindrome (112046323640211).

The spelling of 112023112320000 in words is "one hundred twelve trillion, twenty-three billion, one hundred twelve million, three hundred twenty thousand".