114912 has 96 divisors (see below), whose sum is σ = 403200. Its totient is φ = 31104.

The previous prime is 114901. The next prime is 114913. The reversal of 114912 is 219411.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2 and base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114912.

It is not an unprimeable number, because it can be changed into a prime (114913) by changing a digit.

114912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6039 + ... + 6057.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2¹¹⁴⁹¹² is an apocalyptic number.

114912 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 114912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

114912 is an abundant number, since it is smaller than the sum of its proper divisors (288288).

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

114912 is a wasteful number, since it uses less digits than its factorization.

114912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 31 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 114912 is about 338.9867254038. The cubic root of 114912 is about 48.6170341143.

114912 divided by its product of digits (72) gives a triangular number (1596 = T₅₆).

The spelling of 114912 in words is "one hundred fourteen thousand, nine hundred twelve".