12351305239680 has 768 divisors, whose sum is σ = 46990837514880. Its totient is φ = 2727139737600.

The previous prime is 12351305239661. The next prime is 12351305239681. The reversal of 12351305239680 is 8693250315321.

It is a super-2 number, since 2×12351305239680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12351305239681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 345019542 + ... + 345055338.

Almost surely, 2^{12351305239680} is an apocalyptic number.

12351305239680 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 12351305239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23495418757440).

12351305239680 is an abundant number, since it is smaller than the sum of its proper divisors (34639532275200).

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

12351305239680 is a wasteful number, since it uses less digits than its factorization.

12351305239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35909 (or 35866 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 12351305239680 in words is "twelve trillion, three hundred fifty-one billion, three hundred five million, two hundred thirty-nine thousand, six hundred eighty".