124114144 has 96 divisors (see below), whose sum is σ = 322672896. Its totient is φ = 45496320.

The previous prime is 124114139. The next prime is 124114147. The reversal of 124114144 is 441411421.

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124114147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40407 + ... + 43369.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2^124114144 is an apocalyptic number.

124114144 is a gapful number since it is divisible by the number (14) 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 124114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448).

124114144 is an abundant number, since it is smaller than the sum of its proper divisors (198558752).

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

124114144 is a wasteful number, since it uses less digits than its factorization.

124114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3000 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 124114144 is about 11140.6527636400. The cubic root of 124114144 is about 498.8160574394.

Adding to 124114144 its reverse (441411421), we get a palindrome (565525565).

The spelling of 124114144 in words is "one hundred twenty-four million, one hundred fourteen thousand, one hundred forty-four".