112523055424000 has 240 divisors, whose sum is σ = 303826885207560. Its totient is φ = 41546970316800.

The previous prime is 112523055423997. The next prime is 112523055424009. The reversal of 112523055424000 is 424550325211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13101735815424 + 99421319608576 = 3619632^2 + 9971024^2 .

It is a super-2 number, since 2×112523055424000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112523055424009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5614306 + ... + 16017694.

Almost surely, 2^{112523055424000} is an apocalyptic number.

112523055424000 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 112523055424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151913442603780).

112523055424000 is an abundant number, since it is smaller than the sum of its proper divisors (191303829783560).

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

112523055424000 is an equidigital number, since it uses as much as digits as its factorization.

112523055424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403448 (or 10403409 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 112523055424000 in words is "one hundred twelve trillion, five hundred twenty-three billion, fifty-five million, four hundred twenty-four thousand".