12523456000 has 160 divisors (see below), whose sum is σ = 34068846240. Its totient is φ = 4553728000.

The previous prime is 12523455949. The next prime is 12523456061. The reversal of 12523456000 is 65432521.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 12523456000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695106 + ... + 712894.

It is an arithmetic number, because the mean of its divisors is an integer number (212930289).

Almost surely, 2^12523456000 is an apocalyptic number.

12523456000 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 12523456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034423120).

12523456000 is an abundant number, since it is smaller than the sum of its proper divisors (21545390240).

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

12523456000 is an equidigital number, since it uses as much as digits as its factorization.

12523456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17833 (or 17807 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 12523456000 its reverse (65432521), we get a palindrome (12588888521).

The spelling of 12523456000 in words is "twelve billion, five hundred twenty-three million, four hundred fifty-six thousand".