112119840 has 288 divisors, whose sum is σ = 448156800. Its totient is φ = 25514496.

The previous prime is 112119827. The next prime is 112119851. The reversal of 112119840 is 48911211.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 493807 + ... + 494033.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^112119840 is an apocalyptic number.

112119840 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 112119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

112119840 is an abundant number, since it is smaller than the sum of its proper divisors (336036960).

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

112119840 is a wasteful number, since it uses less digits than its factorization.

112119840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 112119840 is about 10588.6656383135. The cubic root of 112119840 is about 482.2003150336.

The spelling of 112119840 in words is "one hundred twelve million, one hundred nineteen thousand, eight hundred forty".