12321647741200 has 90 divisors (see below), whose sum is σ = 34435862213946. Its totient is φ = 4224564933120.

The previous prime is 12321647741173. The next prime is 12321647741233. The reversal of 12321647741200 is 214774612321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2918029234176 + 9403618507024 = 1708224^2 + 3066532^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 314308149 + ... + 314347348.

Almost surely, 2^{12321647741200} is an apocalyptic number.

12321647741200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321647741200 is an abundant number, since it is smaller than the sum of its proper divisors (22114214472746).

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

12321647741200 is a wasteful number, since it uses less digits than its factorization.

12321647741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628655529 (or 628655511 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 12321647741200 in words is "twelve trillion, three hundred twenty-one billion, six hundred forty-seven million, seven hundred forty-one thousand, two hundred".