12305989340560 has 160 divisors (see below), whose sum is σ = 28903150080000. Its totient is φ = 4872488007168.

The previous prime is 12305989340527. The next prime is 12305989340599. The reversal of 12305989340560 is 6504398950321.

It is a super-2 number, since 2×12305989340560² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6549221701 + ... + 6549223579.

It is an arithmetic number, because the mean of its divisors is an integer number (180644688000).

Almost surely, 2^{12305989340560} is an apocalyptic number.

12305989340560 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 12305989340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451575040000).

12305989340560 is an abundant number, since it is smaller than the sum of its proper divisors (16597160739440).

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

12305989340560 is a wasteful number, since it uses less digits than its factorization.

12305989340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 12305989340560 in words is "twelve trillion, three hundred five billion, nine hundred eighty-nine million, three hundred forty thousand, five hundred sixty".