12028030560 has 576 divisors, whose sum is σ = 53187563520. Its totient is φ = 2403717120.

The previous prime is 12028030549. The next prime is 12028030571. The reversal of 12028030560 is 6503082021.

12028030560 is a `hidden beast` number, since 1 + 20 + 2 + 80 + 3 + 0 + 560 = 666.

12028030560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12028030549) and next prime (12028030571).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2487345 + ... + 2492175.

It is an arithmetic number, because the mean of its divisors is an integer number (92339520).

Almost surely, 2^12028030560 is an apocalyptic number.

12028030560 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 12028030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26593781760).

12028030560 is an abundant number, since it is smaller than the sum of its proper divisors (41159532960).

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

12028030560 is a wasteful number, since it uses less digits than its factorization.

12028030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12028030560 in words is "twelve billion, twenty-eight million, thirty thousand, five hundred sixty".