12126553680384 has 1920 divisors, whose sum is σ = 44327448861696. Its totient is φ = 3287866982400.

The previous prime is 12126553680361. The next prime is 12126553680403. The reversal of 12126553680384 is 48308635562121.

12126553680384 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 553 + 6 + 8 + 0 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12126553680384.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92569111999 + ... + 92569112129.

Almost surely, 2^{12126553680384} 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 12126553680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22163724430848).

12126553680384 is an abundant number, since it is smaller than the sum of its proper divisors (32200895181312).

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

12126553680384 is an equidigital number, since it uses as much as digits as its factorization.

12126553680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 12126553680384 in words is "twelve trillion, one hundred twenty-six billion, five hundred fifty-three million, six hundred eighty thousand, three hundred eighty-four".