12004578432 has 480 divisors, whose sum is σ = 44911056960. Its totient is φ = 3115791360.

The previous prime is 12004578419. The next prime is 12004578457. The reversal of 12004578432 is 23487540021.

It is a happy number.

12004578432 is a `hidden beast` number, since 120 + 0 + 457 + 84 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8781013 + ... + 8782379.

It is an arithmetic number, because the mean of its divisors is an integer number (93564702).

Almost surely, 2^12004578432 is an apocalyptic number.

12004578432 is a gapful number since it is divisible by the number (12) 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 12004578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455528480).

12004578432 is an abundant number, since it is smaller than the sum of its proper divisors (32906478528).

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

12004578432 is a wasteful number, since it uses less digits than its factorization.

12004578432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12004578432 in words is "twelve billion, four million, five hundred seventy-eight thousand, four hundred thirty-two".