12009285288 has 512 divisors, whose sum is σ = 45513216000. Its totient is φ = 2832952320.

The previous prime is 12009285287. The next prime is 12009285307. The reversal of 12009285288 is 88258290021.

12009285288 is a `hidden beast` number, since 1 + 200 + 92 + 85 + 288 = 666.

It is not an unprimeable number, because it can be changed into a prime (12009285287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14486058 + ... + 14486886.

It is an arithmetic number, because the mean of its divisors is an integer number (88893000).

Almost surely, 2^12009285288 is an apocalyptic number.

12009285288 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 12009285288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756608000).

12009285288 is an abundant number, since it is smaller than the sum of its proper divisors (33503930712).

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

12009285288 is a wasteful number, since it uses less digits than its factorization.

12009285288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12009285288 in words is "twelve billion, nine million, two hundred eighty-five thousand, two hundred eighty-eight".