12185540928 has 336 divisors, whose sum is σ = 39841139520. Its totient is φ = 3527884800.

The previous prime is 12185540923. The next prime is 12185540957. The reversal of 12185540928 is 82904558121.

12185540928 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 554 + 0 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12185540923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13831048 + ... + 13831928.

It is an arithmetic number, because the mean of its divisors is an integer number (118574820).

Almost surely, 2^12185540928 is an apocalyptic number.

12185540928 is a gapful number since it is divisible by the number (18) 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 12185540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920569760).

12185540928 is an abundant number, since it is smaller than the sum of its proper divisors (27655598592).

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

12185540928 is a wasteful number, since it uses less digits than its factorization.

12185540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 12185540928 in words is "twelve billion, one hundred eighty-five million, five hundred forty thousand, nine hundred twenty-eight".