114124000 has 96 divisors (see below), whose sum is σ = 284147136. Its totient is φ = 45043200.

The previous prime is 114123991. The next prime is 114124001. The reversal of 114124000 is 421411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114124001) 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, 411862 + ... + 412138.

It is an arithmetic number, because the mean of its divisors is an integer number (2959866).

Almost surely, 2^114124000 is an apocalyptic number.

114124000 is a gapful number since it is divisible by the number (10) 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 114124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142073568).

114124000 is an abundant number, since it is smaller than the sum of its proper divisors (170023136).

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

114124000 is a wasteful number, since it uses less digits than its factorization.

114124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 114124000 is about 10682.8835058705. The cubic root of 114124000 is about 485.0564995999.

Adding to 114124000 its reverse (421411), we get a palindrome (114545411).

The spelling of 114124000 in words is "one hundred fourteen million, one hundred twenty-four thousand".