12073284576 has 120 divisors (see below), whose sum is σ = 35661369744. Its totient is φ = 4006955520.

The previous prime is 12073284569. The next prime is 12073284581. The reversal of 12073284576 is 67548237021.

12073284576 is a `hidden beast` number, since 1 + 2 + 0 + 73 + 2 + 8 + 4 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 593941 + ... + 613931.

Almost surely, 2^12073284576 is an apocalyptic number.

12073284576 is a gapful number since it is divisible by the number (16) 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 12073284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830684872).

12073284576 is an abundant number, since it is smaller than the sum of its proper divisors (23588085168).

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

12073284576 is a wasteful number, since it uses less digits than its factorization.

12073284576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12073284576 in words is "twelve billion, seventy-three million, two hundred eighty-four thousand, five hundred seventy-six".