126112608839424 has 576 divisors, whose sum is σ = 356476451788800. Its totient is φ = 39531642568704.

The previous prime is 126112608839423. The next prime is 126112608839443. The reversal of 126112608839424 is 424938806211621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126112608839423) 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, 96490136179 + ... + 96490137485.

It is an arithmetic number, because the mean of its divisors is an integer number (618882728800).

Almost surely, 2^{126112608839424} 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 126112608839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178238225894400).

126112608839424 is an abundant number, since it is smaller than the sum of its proper divisors (230363842949376).

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

126112608839424 is a wasteful number, since it uses less digits than its factorization.

126112608839424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 126112608839424 in words is "one hundred twenty-six trillion, one hundred twelve billion, six hundred eight million, eight hundred thirty-nine thousand, four hundred twenty-four".