12332672000 has 352 divisors, whose sum is σ = 35407532160. Its totient is φ = 4239360000.

The previous prime is 12332671997. The next prime is 12332672017. The reversal of 12332672000 is 27623321.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26751770 + ... + 26752230.

It is an arithmetic number, because the mean of its divisors is an integer number (100589580).

Almost surely, 2^12332672000 is an apocalyptic number.

12332672000 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 12332672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17703766080).

12332672000 is an abundant number, since it is smaller than the sum of its proper divisors (23074860160).

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

12332672000 is a wasteful number, since it uses less digits than its factorization.

12332672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 12332672000 in words is "twelve billion, three hundred thirty-two million, six hundred seventy-two thousand".