112410421200 has 360 divisors, whose sum is σ = 486353889216. Its totient is φ = 23357952000.

The previous prime is 112410421187. The next prime is 112410421247. The reversal of 112410421200 is 2124014211.

112410421200 is a `hidden beast` number, since 1 + 1 + 2 + 41 + 0 + 421 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×112410421200² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74440 + ... + 479960.

Almost surely, 2^112410421200 is an apocalyptic number.

112410421200 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 112410421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243176944608).

112410421200 is an abundant number, since it is smaller than the sum of its proper divisors (373943468016).

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

112410421200 is a wasteful number, since it uses less digits than its factorization.

112410421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405563 (or 405549 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112410421200 its reverse (2124014211), we get a palindrome (114534435411).

The spelling of 112410421200 in words is "one hundred twelve billion, four hundred ten million, four hundred twenty-one thousand, two hundred".