114032124 has 144 divisors (see below), whose sum is σ = 324350208. Its totient is φ = 34898688.

The previous prime is 114032117. The next prime is 114032143. The reversal of 114032124 is 421230411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114032097 and 114032106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107057 + ... + 1107159.

It is an arithmetic number, because the mean of its divisors is an integer number (2252432).

Almost surely, 2^114032124 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 114032124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162175104).

114032124 is an abundant number, since it is smaller than the sum of its proper divisors (210318084).

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

114032124 is a wasteful number, since it uses less digits than its factorization.

114032124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114032124 is about 10678.5824901997. The cubic root of 114032124 is about 484.9262990712.

Adding to 114032124 its reverse (421230411), we get a palindrome (535262535).

The spelling of 114032124 in words is "one hundred fourteen million, thirty-two thousand, one hundred twenty-four".