126004969728 has 216 divisors, whose sum is σ = 417192091680. Its totient is φ = 36173537280.

The previous prime is 126004969691. The next prime is 126004969789. The reversal of 126004969728 is 827969400621.

126004969728 is a `hidden beast` number, since 1 + 2 + 60 + 0 + 496 + 97 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350700 + ... + 612372.

Almost surely, 2^126004969728 is an apocalyptic number.

126004969728 is a gapful number since it is divisible by the number (18) 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 126004969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208596045840).

126004969728 is an abundant number, since it is smaller than the sum of its proper divisors (291187121952).

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

126004969728 is a wasteful number, since it uses less digits than its factorization.

126004969728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261725 (or 261708 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 126004969728 in words is "one hundred twenty-six billion, four million, nine hundred sixty-nine thousand, seven hundred twenty-eight".