112141411200 has 1536 divisors, whose sum is σ = 535465728000. Its totient is φ = 22242263040.

The previous prime is 112141411189. The next prime is 112141411201. The reversal of 112141411200 is 2114141211.

112141411200 is a `hidden beast` number, since 1 + 12 + 1 + 41 + 411 + 200 = 666.

112141411200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112141411200² (a number of 23 digits) contains 22 as substring.

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 (112141411201) 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 191 ways as a sum of consecutive naturals, for example, 133660381 + ... + 133661219.

It is an arithmetic number, because the mean of its divisors is an integer number (348610500).

Almost surely, 2^112141411200 is an apocalyptic number.

112141411200 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 112141411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267732864000).

112141411200 is an abundant number, since it is smaller than the sum of its proper divisors (423324316800).

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

112141411200 is a wasteful number, since it uses less digits than its factorization.

112141411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112141411200 its reverse (2114141211), we get a palindrome (114255552411).

The spelling of 112141411200 in words is "one hundred twelve billion, one hundred forty-one million, four hundred eleven thousand, two hundred".