124031300224 has 128 divisors (see below), whose sum is σ = 273265650000. Its totient is φ = 55710842880.

The previous prime is 124031300207. The next prime is 124031300227. The reversal of 124031300224 is 422003130421.

It can be written as a sum of positive squares in 8 ways, for example, as 6437173824 + 117594126400 = 80232^2 + 342920^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 124031300195 and 124031300204.

It is not an unprimeable number, because it can be changed into a prime (124031300227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30630552 + ... + 30634600.

Almost surely, 2^124031300224 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 124031300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136632825000).

124031300224 is an abundant number, since it is smaller than the sum of its proper divisors (149234349776).

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

124031300224 is a wasteful number, since it uses less digits than its factorization.

124031300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 124031300224 its reverse (422003130421), we get a palindrome (546034430645).

The spelling of 124031300224 in words is "one hundred twenty-four billion, thirty-one million, three hundred thousand, two hundred twenty-four".