112094640000 has 960 divisors, whose sum is σ = 481183971840. Its totient is φ = 24482304000.

The previous prime is 112094639953. The next prime is 112094640011. The reversal of 112094640000 is 46490211.

112094640000 is a `hidden beast` number, since 1 + 12 + 0 + 9 + 4 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 115919517 + ... + 115920483.

It is an arithmetic number, because the mean of its divisors is an integer number (501233304).

Almost surely, 2^112094640000 is an apocalyptic number.

112094640000 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 112094640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240591985920).

112094640000 is an abundant number, since it is smaller than the sum of its proper divisors (369089331840).

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

112094640000 is an equidigital number, since it uses as much as digits as its factorization.

112094640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 112094640000 in words is "one hundred twelve billion, ninety-four million, six hundred forty thousand".