12405734000 has 80 divisors (see below), whose sum is σ = 32724128736. Its totient is φ = 4511168000.

The previous prime is 12405733987. The next prime is 12405734021. The reversal of 12405734000 is 43750421.

12405734000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259949 + ... + 303948.

Almost surely, 2^12405734000 is an apocalyptic number.

12405734000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12405734000 is an abundant number, since it is smaller than the sum of its proper divisors (20318394736).

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

12405734000 is a wasteful number, since it uses less digits than its factorization.

12405734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563931 (or 563915 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The spelling of 12405734000 in words is "twelve billion, four hundred five million, seven hundred thirty-four thousand".