12908034720 has 864 divisors, whose sum is σ = 56091994560. Its totient is φ = 2763694080.

The previous prime is 12908034709. The next prime is 12908034757. The reversal of 12908034720 is 2743080921.

12908034720 is a `hidden beast` number, since 1 + 290 + 8 + 0 + 347 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 143 ways as a sum of consecutive naturals, for example, 61175415 + ... + 61175625.

It is an arithmetic number, because the mean of its divisors is an integer number (64921290).

Almost surely, 2^12908034720 is an apocalyptic number.

12908034720 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 12908034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28045997280).

12908034720 is an abundant number, since it is smaller than the sum of its proper divisors (43183959840).

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

12908034720 is a wasteful number, since it uses less digits than its factorization.

12908034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12908034720 in words is "twelve billion, nine hundred eight million, thirty-four thousand, seven hundred twenty".