12126896842320 has 480 divisors, whose sum is σ = 45288451353600. Its totient is φ = 2887851294720.

The previous prime is 12126896842273. The next prime is 12126896842429. The reversal of 12126896842320 is 2324869862121.

12126896842320 is a `hidden beast` number, since 1 + 2 + 126 + 8 + 96 + 8 + 423 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1370421256 + ... + 1370430104.

It is an arithmetic number, because the mean of its divisors is an integer number (94350940320).

Almost surely, 2^{12126896842320} is an apocalyptic number.

12126896842320 is a gapful number since it is divisible by the number (10) 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 12126896842320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644225676800).

12126896842320 is an abundant number, since it is smaller than the sum of its proper divisors (33161554511280).

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

12126896842320 is a wasteful number, since it uses less digits than its factorization.

12126896842320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13635 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 12126896842320 in words is "twelve trillion, one hundred twenty-six billion, eight hundred ninety-six million, eight hundred forty-two thousand, three hundred twenty".