112725112320 has 1280 divisors, whose sum is σ = 457350727680. Its totient is φ = 26159874048.

The previous prime is 112725112307. The next prime is 112725112327. The reversal of 112725112320 is 23211527211.

It is a happy number.

112725112320 is a `hidden beast` number, since 1 + 127 + 2 + 511 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112725112327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1162114512 + ... + 1162114608.

It is an arithmetic number, because the mean of its divisors is an integer number (357305256).

Almost surely, 2^112725112320 is an apocalyptic number.

112725112320 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 112725112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228675363840).

112725112320 is an abundant number, since it is smaller than the sum of its proper divisors (344625615360).

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

112725112320 is a wasteful number, since it uses less digits than its factorization.

112725112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 112725112320 its reverse (23211527211), we get a palindrome (135936639531).

The spelling of 112725112320 in words is "one hundred twelve billion, seven hundred twenty-five million, one hundred twelve thousand, three hundred twenty".