112410654720 has 768 divisors, whose sum is σ = 449100288000. Its totient is φ = 23371186176.

The previous prime is 112410654709. The next prime is 112410654737. The reversal of 112410654720 is 27456014211.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220845826 + ... + 220846334.

It is an arithmetic number, because the mean of its divisors is an integer number (584766000).

Almost surely, 2^112410654720 is an apocalyptic number.

112410654720 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 112410654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144000).

112410654720 is an abundant number, since it is smaller than the sum of its proper divisors (336689633280).

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

112410654720 is a wasteful number, since it uses less digits than its factorization.

112410654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 112410654720 its reverse (27456014211), we get a palindrome (139866668931).

The spelling of 112410654720 in words is "one hundred twelve billion, four hundred ten million, six hundred fifty-four thousand, seven hundred twenty".