112120112322000 has 960 divisors, whose sum is σ = 408273906351168. Its totient is φ = 28653004800000.

The previous prime is 112120112321933. The next prime is 112120112322107. The reversal of 112120112322000 is 223211021211.

112120112322000 is a `hidden beast` number, since 1 + 121 + 201 + 123 + 220 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 14235287529024 + 97884824792976 = 3772968^2 + 9893676^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13251397770 + ... + 13251406230.

Almost surely, 2^{112120112322000} is an apocalyptic number.

112120112322000 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 112120112322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204136953175584).

112120112322000 is an abundant number, since it is smaller than the sum of its proper divisors (296153794029168).

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

112120112322000 is a wasteful number, since it uses less digits than its factorization.

112120112322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112120112322000 its reverse (223211021211), we get a palindrome (112343323343211).

The spelling of 112120112322000 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred twelve million, three hundred twenty-two thousand".