12929310720 has 392 divisors, whose sum is σ = 46628835876. Its totient is φ = 3439853568.

The previous prime is 12929310701. The next prime is 12929310731. The reversal of 12929310720 is 2701392921.

It can be written as a sum of positive squares in 2 ways, for example, as 11851370496 + 1077940224 = 108864^2 + 32832^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29859624 + ... + 29860056.

Almost surely, 2^12929310720 is an apocalyptic number.

12929310720 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 12929310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23314417938).

12929310720 is an abundant number, since it is smaller than the sum of its proper divisors (33699525156).

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

12929310720 is an frugal number, since it uses more digits than its factorization.

12929310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12929310720 in words is "twelve billion, nine hundred twenty-nine million, three hundred ten thousand, seven hundred twenty".