112195480320 has 1728 divisors, whose sum is σ = 533513433600. Its totient is φ = 22016655360.

The previous prime is 112195480279. The next prime is 112195480321. The reversal of 112195480320 is 23084591211.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112195480321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 353928802 + ... + 353929118.

It is an arithmetic number, because the mean of its divisors is an integer number (308746200).

Almost surely, 2^112195480320 is an apocalyptic number.

112195480320 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 112195480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266756716800).

112195480320 is an abundant number, since it is smaller than the sum of its proper divisors (421317953280).

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

112195480320 is a wasteful number, since it uses less digits than its factorization.

112195480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 112195480320 in words is "one hundred twelve billion, one hundred ninety-five million, four hundred eighty thousand, three hundred twenty".