12905264000 has 64 divisors (see below), whose sum is σ = 32085752400. Its totient is φ = 5162099200.

The previous prime is 12905263993. The next prime is 12905264039. The reversal of 12905264000 is 46250921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 387290 + ... + 419289.

Almost surely, 2^12905264000 is an apocalyptic number.

12905264000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12905264000 is an abundant number, since it is smaller than the sum of its proper divisors (19180488400).

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

12905264000 is an frugal number, since it uses more digits than its factorization.

12905264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806608 (or 806586 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 12905264000 in words is "twelve billion, nine hundred five million, two hundred sixty-four thousand".