12731921280 has 768 divisors, whose sum is σ = 51577646400. Its totient is φ = 2950152192.

The previous prime is 12731921273. The next prime is 12731921303. The reversal of 12731921280 is 8212913721.

12731921280 is a `hidden beast` number, since 127 + 319 + 212 + 8 + 0 = 666.

12731921280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81094962 + ... + 81095118.

Almost surely, 2^12731921280 is an apocalyptic number.

12731921280 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 12731921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25788823200).

12731921280 is an abundant number, since it is smaller than the sum of its proper divisors (38845725120).

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

12731921280 is a wasteful number, since it uses less digits than its factorization.

12731921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12731921280 in words is "twelve billion, seven hundred thirty-one million, nine hundred twenty-one thousand, two hundred eighty".