12188960352 has 240 divisors, whose sum is σ = 36998382960. Its totient is φ = 3934614528.

The previous prime is 12188960297. The next prime is 12188960419. The reversal of 12188960352 is 25306988121.

12188960352 is a `hidden beast` number, since 1 + 218 + 89 + 6 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12188960298 and 12188960307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11401674 + ... + 11402742.

It is an arithmetic number, because the mean of its divisors is an integer number (154159929).

Almost surely, 2^12188960352 is an apocalyptic number.

12188960352 is a gapful number since it is divisible by the number (12) 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 12188960352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499191480).

12188960352 is an abundant number, since it is smaller than the sum of its proper divisors (24809422608).

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

12188960352 is a wasteful number, since it uses less digits than its factorization.

12188960352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12188960352 in words is "twelve billion, one hundred eighty-eight million, nine hundred sixty thousand, three hundred fifty-two".