114241322124 has 72 divisors (see below), whose sum is σ = 306511798320. Its totient is φ = 35752707072.

The previous prime is 114241322123. The next prime is 114241322159. The reversal of 114241322124 is 421223142411.

114241322124 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 413 + 221 + 24 = 666.

114241322124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (114241322123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22107 + ... + 478509.

It is an arithmetic number, because the mean of its divisors is an integer number (4257108310).

Almost surely, 2^114241322124 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 114241322124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153255899160).

114241322124 is an abundant number, since it is smaller than the sum of its proper divisors (192270476196).

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

114241322124 is a wasteful number, since it uses less digits than its factorization.

114241322124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456839 (or 456834 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 114241322124 its reverse (421223142411), we get a palindrome (535464464535).

The spelling of 114241322124 in words is "one hundred fourteen billion, two hundred forty-one million, three hundred twenty-two thousand, one hundred twenty-four".