12730338432 has 384 divisors, whose sum is σ = 44197171200. Its totient is φ = 3571983360.

The previous prime is 12730338431. The next prime is 12730338461. The reversal of 12730338432 is 23483303721.

12730338432 is a `hidden beast` number, since 1 + 273 + 0 + 3 + 384 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (12730338431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12845457 + ... + 12846447.

It is an arithmetic number, because the mean of its divisors is an integer number (115096800).

Almost surely, 2^12730338432 is an apocalyptic number.

12730338432 is a gapful number since it is divisible by the number (12) 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 12730338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22098585600).

12730338432 is an abundant number, since it is smaller than the sum of its proper divisors (31466832768).

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

12730338432 is an frugal number, since it uses more digits than its factorization.

12730338432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 12730338432 in words is "twelve billion, seven hundred thirty million, three hundred thirty-eight thousand, four hundred thirty-two".