12305609460 has 144 divisors (see below), whose sum is σ = 39606840000. Its totient is φ = 3081894912.

The previous prime is 12305609447. The next prime is 12305609473. The reversal of 12305609460 is 6490650321.

It is a happy number.

12305609460 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 5 + 609 + 46 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12305609447) and next prime (12305609473).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1522911 + ... + 1530969.

It is an arithmetic number, because the mean of its divisors is an integer number (275047500).

Almost surely, 2^12305609460 is an apocalyptic number.

12305609460 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 12305609460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420000).

12305609460 is an abundant number, since it is smaller than the sum of its proper divisors (27301230540).

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

12305609460 is a wasteful number, since it uses less digits than its factorization.

12305609460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12305609460 in words is "twelve billion, three hundred five million, six hundred nine thousand, four hundred sixty".