112142016 has 224 divisors, whose sum is σ = 384942080. Its totient is φ = 31352832.

The previous prime is 112141993. The next prime is 112142029. The reversal of 112142016 is 610241211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 112142016.

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 31 ways as a sum of consecutive naturals, for example, 882945 + ... + 883071.

Almost surely, 2^112142016 is an apocalyptic number.

112142016 is a gapful number since it is divisible by the number (16) 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 112142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471040).

112142016 is an abundant number, since it is smaller than the sum of its proper divisors (272800064).

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

112142016 is a wasteful number, since it uses less digits than its factorization.

112142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 112142016 is about 10589.7127439794. The cubic root of 112142016 is about 482.2321041421.

Adding to 112142016 its reverse (610241211), we get a palindrome (722383227).

The spelling of 112142016 in words is "one hundred twelve million, one hundred forty-two thousand, sixteen".