12721434324480 has 2560 divisors, whose sum is σ = 55238464512000. Its totient is φ = 2714086932480.

The previous prime is 12721434324463. The next prime is 12721434324491. The reversal of 12721434324480 is 8442343412721.

12721434324480 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 143 + 4 + 3 + 24 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76176253357 + ... + 76176253523.

It is an arithmetic number, because the mean of its divisors is an integer number (21577525200).

Almost surely, 2^{12721434324480} is an apocalyptic number.

12721434324480 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 12721434324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27619232256000).

12721434324480 is an abundant number, since it is smaller than the sum of its proper divisors (42517030187520).

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

12721434324480 is a wasteful number, since it uses less digits than its factorization.

12721434324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 12721434324480 in words is "twelve trillion, seven hundred twenty-one billion, four hundred thirty-four million, three hundred twenty-four thousand, four hundred eighty".