12396724933824 has 448 divisors, whose sum is σ = 46902487449600. Its totient is φ = 3116058854400.

The previous prime is 12396724933783. The next prime is 12396724933843. The reversal of 12396724933824 is 42833942769321.

It is a happy number.

12396724933824 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 6 + 7 + 249 + 3 + 382 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 2622007 + ... + 5627465.

Almost surely, 2^{12396724933824} is an apocalyptic number.

12396724933824 is a gapful number since it is divisible by the number (14) 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 12396724933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451243724800).

12396724933824 is an abundant number, since it is smaller than the sum of its proper divisors (34505762515776).

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

12396724933824 is a wasteful number, since it uses less digits than its factorization.

12396724933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005529 (or 3005513 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 12396724933824 in words is "twelve trillion, three hundred ninety-six billion, seven hundred twenty-four million, nine hundred thirty-three thousand, eight hundred twenty-four".