112413224000 has 224 divisors, whose sum is σ = 347087220480. Its totient is φ = 35037696000.

The previous prime is 112413223963. The next prime is 112413224041. The reversal of 112413224000 is 422314211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524756 + ... + 707244.

It is an arithmetic number, because the mean of its divisors is an integer number (1549496520).

Almost surely, 2^112413224000 is an apocalyptic number.

112413224000 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 112413224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173543610240).

112413224000 is an abundant number, since it is smaller than the sum of its proper divisors (234673996480).

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

112413224000 is a wasteful number, since it uses less digits than its factorization.

112413224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182534 (or 182514 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 112413224000 its reverse (422314211), we get a palindrome (112835538211).

The spelling of 112413224000 in words is "one hundred twelve billion, four hundred thirteen million, two hundred twenty-four thousand".