12305400672 has 48 divisors (see below), whose sum is σ = 32338317312. Its totient is φ = 4097147520.

The previous prime is 12305400671. The next prime is 12305400677. The reversal of 12305400672 is 27600450321.

12305400672 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305400671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12897 + ... + 157407.

It is an arithmetic number, because the mean of its divisors is an integer number (673714944).

Almost surely, 2^12305400672 is an apocalyptic number.

12305400672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12305400672 is an abundant number, since it is smaller than the sum of its proper divisors (20032916640).

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

12305400672 is a wasteful number, since it uses less digits than its factorization.

12305400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145411 (or 145403 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 12305400672 its reverse (27600450321), we get a palindrome (39905850993).

The spelling of 12305400672 in words is "twelve billion, three hundred five million, four hundred thousand, six hundred seventy-two".