12126598848 has 672 divisors, whose sum is σ = 46864097280. Its totient is φ = 2906357760.

The previous prime is 12126598843. The next prime is 12126598859. The reversal of 12126598848 is 84889562121.

12126598848 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 598 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (2211840) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 12126598794 and 12126598803.

It is not an unprimeable number, because it can be changed into a prime (12126598843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27623013 + ... + 27623451.

It is an arithmetic number, because the mean of its divisors is an integer number (69738240).

Almost surely, 2^12126598848 is an apocalyptic number.

12126598848 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 12126598848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23432048640).

12126598848 is an abundant number, since it is smaller than the sum of its proper divisors (34737498432).

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

12126598848 is a wasteful number, since it uses less digits than its factorization.

12126598848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 12126598848 in words is "twelve billion, one hundred twenty-six million, five hundred ninety-eight thousand, eight hundred forty-eight".