12321444004000 has 72 divisors (see below), whose sum is σ = 30274333391484. Its totient is φ = 4928488800000.

The previous prime is 12321444003929. The next prime is 12321444004027. The reversal of 12321444004000 is 40044412321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 3136398496144 + 9185045507856 = 1770988^2 + 3030684^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221976250 + ... + 222031750.

Almost surely, 2^{12321444004000} is an apocalyptic number.

12321444004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321444004000 is an abundant number, since it is smaller than the sum of its proper divisors (17952889387484).

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

12321444004000 is an frugal number, since it uses more digits than its factorization.

12321444004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111027 (or 55508 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12321444004000 its reverse (40044412321), we get a palindrome (12361488416321).

The spelling of 12321444004000 in words is "twelve trillion, three hundred twenty-one billion, four hundred forty-four million, four thousand".