112120064 has 144 divisors (see below), whose sum is σ = 279619200. Its totient is φ = 43794432.

The previous prime is 112120033. The next prime is 112120079. The reversal of 112120064 is 460021211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259732 + ... + 1259820.

It is an arithmetic number, because the mean of its divisors is an integer number (1941800).

Almost surely, 2^112120064 is an apocalyptic number.

112120064 is a gapful number since it is divisible by the number (14) 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 112120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139809600).

112120064 is an abundant number, since it is smaller than the sum of its proper divisors (167499136).

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

112120064 is an equidigital number, since it uses as much as digits as its factorization.

112120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 112120064 is about 10588.6762156560. The cubic root of 112120064 is about 482.2006361567.

Adding to 112120064 its reverse (460021211), we get a palindrome (572141275).

The spelling of 112120064 in words is "one hundred twelve million, one hundred twenty thousand, sixty-four".