112271805600 has 288 divisors, whose sum is σ = 386702124480. Its totient is φ = 28214231040.

The previous prime is 112271805553. The next prime is 112271805623. The reversal of 112271805600 is 6508172211.

112271805600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8794422 + ... + 8807178.

It is an arithmetic number, because the mean of its divisors is an integer number (1342715710).

Almost surely, 2^112271805600 is an apocalyptic number.

112271805600 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 112271805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193351062240).

112271805600 is an abundant number, since it is smaller than the sum of its proper divisors (274430318880).

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

112271805600 is a wasteful number, since it uses less digits than its factorization.

112271805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992 (or 12979 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

Adding to 112271805600 its reverse (6508172211), we get a palindrome (118779977811).

The spelling of 112271805600 in words is "one hundred twelve billion, two hundred seventy-one million, eight hundred five thousand, six hundred".