12351682560 has 384 divisors, whose sum is σ = 45853516800. Its totient is φ = 2780037120.

The previous prime is 12351682547. The next prime is 12351682573. The reversal of 12351682560 is 6528615321.

It is an interprime number because it is at equal distance from previous prime (12351682547) and next prime (12351682573).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15267436 + ... + 15268244.

It is an arithmetic number, because the mean of its divisors is an integer number (119410200).

Almost surely, 2^12351682560 is an apocalyptic number.

12351682560 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 12351682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22926758400).

12351682560 is an abundant number, since it is smaller than the sum of its proper divisors (33501834240).

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

12351682560 is an equidigital number, since it uses as much as digits as its factorization.

12351682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 12351682560 in words is "twelve billion, three hundred fifty-one million, six hundred eighty-two thousand, five hundred sixty".