12336498672960 has 2688 divisors, whose sum is σ = 55299751833600. Its totient is φ = 2293076459520.

The previous prime is 12336498672923. The next prime is 12336498672991. The reversal of 12336498672960 is 6927689463321.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 12336498672891 and 12336498672900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20124793614 + ... + 20124794226.

Almost surely, 2^{12336498672960} is an apocalyptic number.

12336498672960 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 12336498672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27649875916800).

12336498672960 is an abundant number, since it is smaller than the sum of its proper divisors (42963253160640).

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

12336498672960 is a wasteful number, since it uses less digits than its factorization.

12336498672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 12336498672960 in words is "twelve trillion, three hundred thirty-six billion, four hundred ninety-eight million, six hundred seventy-two thousand, nine hundred sixty".