112513120144000 has 256 divisors, whose sum is σ = 296263855648800. Its totient is φ = 42347431526400.

The previous prime is 112513120143971. The next prime is 112513120144021. The reversal of 112513120144000 is 441021315211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 14773322457664 + 97739797686336 = 3843608^2 + 9886344^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1150239094 + ... + 1150336906.

Almost surely, 2^{112513120144000} is an apocalyptic number.

112513120144000 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 112513120144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148131927824400).

112513120144000 is an abundant number, since it is smaller than the sum of its proper divisors (183750735504800).

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

112513120144000 is an equidigital number, since it uses as much as digits as its factorization.

112513120144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102088 (or 102066 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 112513120144000 its reverse (441021315211), we get a palindrome (112954141459211).

The spelling of 112513120144000 in words is "one hundred twelve trillion, five hundred thirteen billion, one hundred twenty million, one hundred forty-four thousand".