12413552000 has 128 divisors (see below), whose sum is σ = 31017898080. Its totient is φ = 4940544000.

The previous prime is 12413551939. The next prime is 12413552071. The reversal of 12413552000 is 25531421.

12413552000 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 (128).

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, 3374162 + ... + 3377838.

Almost surely, 2^12413552000 is an apocalyptic number.

12413552000 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 12413552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508949040).

12413552000 is an abundant number, since it is smaller than the sum of its proper divisors (18604346080).

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

12413552000 is an equidigital number, since it uses as much as digits as its factorization.

12413552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 12413552000 in words is "twelve billion, four hundred thirteen million, five hundred fifty-two thousand".