126008124 has 48 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 37963840.

The previous prime is 126008123. The next prime is 126008203. The reversal of 126008124 is 421800621.

It is a junction number, because it is equal to n+sod(n) for n = 126008094 and 126008103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126008123) 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, 20962 + ... + 26294.

It is an arithmetic number, because the mean of its divisors is an integer number (6720840).

Almost surely, 2^126008124 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 126008124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

126008124 is an abundant number, since it is smaller than the sum of its proper divisors (196592196).

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

126008124 is a wasteful number, since it uses less digits than its factorization.

126008124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5528 counting only the distinct ones).

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

The square root of 126008124 is about 11225.3340262105. The cubic root of 126008124 is about 501.3405678767.

Adding to 126008124 its reverse (421800621), we get a palindrome (547808745).

The spelling of 126008124 in words is "one hundred twenty-six million, eight thousand, one hundred twenty-four".