114422112 has 96 divisors (see below), whose sum is σ = 381427200. Its totient is φ = 32690304.

The previous prime is 114422107. The next prime is 114422117. The reversal of 114422112 is 211224411.

114422112 is a `hidden beast` number, since 11 + 442 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114422107) and next prime (114422117).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114422117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3412 + ... + 15507.

It is an arithmetic number, because the mean of its divisors is an integer number (3973200).

Almost surely, 2^114422112 is an apocalyptic number.

114422112 is a gapful number since it is divisible by the number (12) 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 114422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190713600).

114422112 is an abundant number, since it is smaller than the sum of its proper divisors (267005088).

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

114422112 is a wasteful number, since it uses less digits than its factorization.

114422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18945 (or 18931 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 114422112 is about 10696.8271931447. The cubic root of 114422112 is about 485.4784834003.

Adding to 114422112 its reverse (211224411), we get a palindrome (325646523).

The spelling of 114422112 in words is "one hundred fourteen million, four hundred twenty-two thousand, one hundred twelve".