12979130340 has 288 divisors, whose sum is σ = 41093297280. Its totient is φ = 3057500160.

The previous prime is 12979130327. The next prime is 12979130347. The reversal of 12979130340 is 4303197921.

It is not an unprimeable number, because it can be changed into a prime (12979130347) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 67249284 + ... + 67249476.

It is an arithmetic number, because the mean of its divisors is an integer number (142685060).

Almost surely, 2^12979130340 is an apocalyptic number.

12979130340 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 12979130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546648640).

12979130340 is an abundant number, since it is smaller than the sum of its proper divisors (28114166940).

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

12979130340 is a wasteful number, since it uses less digits than its factorization.

12979130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 12979130340 in words is "twelve billion, nine hundred seventy-nine million, one hundred thirty thousand, three hundred forty".