12026044800 has 1728 divisors, whose sum is σ = 59044658400. Its totient is φ = 2270822400.

The previous prime is 12026044759. The next prime is 12026044819. The reversal of 12026044800 is 844062021.

12026044800 is a `hidden beast` number, since 12 + 0 + 2 + 604 + 48 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 414691186 + ... + 414691214.

Almost surely, 2^12026044800 is an apocalyptic number.

12026044800 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 12026044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29522329200).

12026044800 is an abundant number, since it is smaller than the sum of its proper divisors (47018613600).

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

12026044800 is a wasteful number, since it uses less digits than its factorization.

12026044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12026044800 in words is "twelve billion, twenty-six million, forty-four thousand, eight hundred".