12187946560 has 112 divisors (see below), whose sum is σ = 30517990272. Its totient is φ = 4627251200.

The previous prime is 12187946521. The next prime is 12187946599. The reversal of 12187946560 is 6564978121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12187946521) and next prime (12187946599).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957840 + ... + 970480.

It is an arithmetic number, because the mean of its divisors is an integer number (272482056).

Almost surely, 2^12187946560 is an apocalyptic number.

12187946560 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 12187946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15258995136).

12187946560 is an abundant number, since it is smaller than the sum of its proper divisors (18330043712).

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

12187946560 is a wasteful number, since it uses less digits than its factorization.

12187946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 12187946560 in words is "twelve billion, one hundred eighty-seven million, nine hundred forty-six thousand, five hundred sixty".