12481416880128 has 1344 divisors, whose sum is σ = 45226516608000. Its totient is φ = 3400102379520.

The previous prime is 12481416880111. The next prime is 12481416880147. The reversal of 12481416880128 is 82108861418421.

12481416880128 is a `hidden beast` number, since 1 + 2 + 481 + 4 + 1 + 68 + 80 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40133173093 + ... + 40133173403.

It is an arithmetic number, because the mean of its divisors is an integer number (33650682000).

Almost surely, 2^{12481416880128} is an apocalyptic number.

12481416880128 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 12481416880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22613258304000).

12481416880128 is an abundant number, since it is smaller than the sum of its proper divisors (32745099727872).

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

12481416880128 is an frugal number, since it uses more digits than its factorization.

12481416880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 12481416880128 in words is "twelve trillion, four hundred eighty-one billion, four hundred sixteen million, eight hundred eighty thousand, one hundred twenty-eight".