112161024000 has 672 divisors, whose sum is σ = 420334616520. Its totient is φ = 29859840000.

The previous prime is 112161023977. The next prime is 112161024007. The reversal of 112161024000 is 420161211.

112161024000 is a `hidden beast` number, since 1 + 12 + 1 + 610 + 2 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53216953344 + 58944070656 = 230688^2 + 242784^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112161024007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186623700 + ... + 186624300.

Almost surely, 2^112161024000 is an apocalyptic number.

112161024000 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 112161024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210167308260).

112161024000 is an abundant number, since it is smaller than the sum of its proper divisors (308173592520).

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

112161024000 is an frugal number, since it uses more digits than its factorization.

112161024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 611 counting only the distinct ones).

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

Adding to 112161024000 its reverse (420161211), we get a palindrome (112581185211).

The spelling of 112161024000 in words is "one hundred twelve billion, one hundred sixty-one million, twenty-four thousand".