12046728960 has 864 divisors, whose sum is σ = 50610094080. Its totient is φ = 2587852800.

The previous prime is 12046728959. The next prime is 12046728997. The reversal of 12046728960 is 6982764021.

It is a happy number.

12046728960 is a `hidden beast` number, since 120 + 467 + 2 + 8 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152490201 + ... + 152490279.

Almost surely, 2^12046728960 is an apocalyptic number.

12046728960 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 12046728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25305047040).

12046728960 is an abundant number, since it is smaller than the sum of its proper divisors (38563365120).

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

12046728960 is a wasteful number, since it uses less digits than its factorization.

12046728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12046728960 in words is "twelve billion, forty-six million, seven hundred twenty-eight thousand, nine hundred sixty".