12496052217600 has 1296 divisors, whose sum is σ = 53080815610368. Its totient is φ = 2849166213120.

The previous prime is 12496052217581. The next prime is 12496052217617. The reversal of 12496052217600 is 671225069421.

12496052217600 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 6 + 0 + 5 + 22 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5301675622 + ... + 5301677978.

Almost surely, 2^{12496052217600} is an apocalyptic number.

12496052217600 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 12496052217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26540407805184).

12496052217600 is an abundant number, since it is smaller than the sum of its proper divisors (40584763392768).

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

12496052217600 is an equidigital number, since it uses as much as digits as its factorization.

12496052217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12496052217600 in words is "twelve trillion, four hundred ninety-six billion, fifty-two million, two hundred seventeen thousand, six hundred".