114242002112 has 224 divisors, whose sum is σ = 270369792000. Its totient is φ = 46886261760.

The previous prime is 114242002111. The next prime is 114242002153. The reversal of 114242002112 is 211200242411.

114242002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (114242002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228941639 + ... + 228942137.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008000).

Almost surely, 2^114242002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114242002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896000).

114242002112 is an abundant number, since it is smaller than the sum of its proper divisors (156127789888).

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

114242002112 is a wasteful number, since it uses less digits than its factorization.

114242002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114242002112 its reverse (211200242411), we get a palindrome (325442244523).

The spelling of 114242002112 in words is "one hundred fourteen billion, two hundred forty-two million, two thousand, one hundred twelve".