12721411584 has 360 divisors, whose sum is σ = 43651999248. Its totient is φ = 3627970560.

The previous prime is 12721411541. The next prime is 12721411597. The reversal of 12721411584 is 48511412721.

12721411584 is a `hidden beast` number, since 1 + 2 + 72 + 1 + 4 + 1 + 1 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23514354 + ... + 23514894.

Almost surely, 2^12721411584 is an apocalyptic number.

12721411584 is a gapful number since it is divisible by the number (14) 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 12721411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21825999624).

12721411584 is an abundant number, since it is smaller than the sum of its proper divisors (30930587664).

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

12721411584 is an frugal number, since it uses more digits than its factorization.

12721411584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 553 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The spelling of 12721411584 in words is "twelve billion, seven hundred twenty-one million, four hundred eleven thousand, five hundred eighty-four".