12188428560 has 1440 divisors, whose sum is σ = 58166812800. Its totient is φ = 2316625920.

The previous prime is 12188428547. The next prime is 12188428573. The reversal of 12188428560 is 6582488121.

12188428560 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 84 + 2 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (12188428547) and next prime (12188428573).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 420290626 + ... + 420290654.

It is an arithmetic number, because the mean of its divisors is an integer number (40393620).

Almost surely, 2^12188428560 is an apocalyptic number.

12188428560 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 12188428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29083406400).

12188428560 is an abundant number, since it is smaller than the sum of its proper divisors (45978384240).

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

12188428560 is a wasteful number, since it uses less digits than its factorization.

12188428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12188428560 in words is "twelve billion, one hundred eighty-eight million, four hundred twenty-eight thousand, five hundred sixty".