114134101224 has 256 divisors, whose sum is σ = 343137150720. Its totient is φ = 31177236480.

The previous prime is 114134101223. The next prime is 114134101253. The reversal of 114134101224 is 422101431411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 114134101194 and 114134101203.

It is not an unprimeable number, because it can be changed into a prime (114134101223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42380422 + ... + 42383114.

It is an arithmetic number, because the mean of its divisors is an integer number (1340379495).

Almost surely, 2^114134101224 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 114134101224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171568575360).

114134101224 is an abundant number, since it is smaller than the sum of its proper divisors (229003049496).

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

114134101224 is a wasteful number, since it uses less digits than its factorization.

114134101224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114134101224 its reverse (422101431411), we get a palindrome (536235532635).

The spelling of 114134101224 in words is "one hundred fourteen billion, one hundred thirty-four million, one hundred one thousand, two hundred twenty-four".