12173328000 has 768 divisors, whose sum is σ = 47262458880. Its totient is φ = 3110400000.

The previous prime is 12173327953. The next prime is 12173328007. The reversal of 12173328000 is 82337121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12173328007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120527950 + ... + 120528050.

It is an arithmetic number, because the mean of its divisors is an integer number (61539660).

Almost surely, 2^12173328000 is an apocalyptic number.

12173328000 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 12173328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631229440).

12173328000 is an abundant number, since it is smaller than the sum of its proper divisors (35089130880).

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

12173328000 is an equidigital number, since it uses as much as digits as its factorization.

12173328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12173328000 in words is "twelve billion, one hundred seventy-three million, three hundred twenty-eight thousand".