12305190528 has 192 divisors, whose sum is σ = 35989125120. Its totient is φ = 4035225600.

The previous prime is 12305190517. The next prime is 12305190577. The reversal of 12305190528 is 82509150321.

12305190528 is a `hidden beast` number, since 12 + 30 + 5 + 1 + 90 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 12305190492 and 12305190501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22091626 + ... + 22092182.

It is an arithmetic number, because the mean of its divisors is an integer number (187443360).

Almost surely, 2^12305190528 is an apocalyptic number.

12305190528 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 12305190528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994562560).

12305190528 is an abundant number, since it is smaller than the sum of its proper divisors (23683934592).

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

12305190528 is a wasteful number, since it uses less digits than its factorization.

12305190528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 12305190528 in words is "twelve billion, three hundred five million, one hundred ninety thousand, five hundred twenty-eight".