12424796800000 has 528 divisors, whose sum is σ = 35401558686480. Its totient is φ = 4317511680000.

The previous prime is 12424796799991. The next prime is 12424796800033. The reversal of 12424796800000 is 869742421.

It can be written as a sum of positive squares in 24 ways, for example, as 6953389277184 + 5471407522816 = 2636928^2 + 2339104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12424796800000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707191216 + ... + 707208784.

Almost surely, 2^{12424796800000} is an apocalyptic number.

12424796800000 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 12424796800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700779343240).

12424796800000 is an abundant number, since it is smaller than the sum of its proper divisors (22976761886480).

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

12424796800000 is an equidigital number, since it uses as much as digits as its factorization.

12424796800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17644 (or 17606 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 12424796800000 in words is "twelve trillion, four hundred twenty-four billion, seven hundred ninety-six million, eight hundred thousand".