12256400172 has 96 divisors (see below), whose sum is σ = 31893668352. Its totient is φ = 3643442176.

The previous prime is 12256400159. The next prime is 12256400179. The reversal of 12256400172 is 27100465221.

12256400172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12256400179) 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 31 ways as a sum of consecutive naturals, for example, 489838 + ... + 514250.

It is an arithmetic number, because the mean of its divisors is an integer number (332225712).

Almost surely, 2^12256400172 is an apocalyptic number.

12256400172 is a gapful number since it is divisible by the number (12) 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 12256400172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946834176).

12256400172 is an abundant number, since it is smaller than the sum of its proper divisors (19637268180).

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

12256400172 is a wasteful number, since it uses less digits than its factorization.

12256400172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24567 (or 24565 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 12256400172 its reverse (27100465221), we get a palindrome (39356865393).

The spelling of 12256400172 in words is "twelve billion, two hundred fifty-six million, four hundred thousand, one hundred seventy-two".