12268044800 has 270 divisors, whose sum is σ = 33789028119. Its totient is φ = 4410982400.

The previous prime is 12268044799. The next prime is 12268044839. The reversal of 12268044800 is 844086221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1153825024 + 11114219776 = 33968^2 + 105424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=78320.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137843156 + ... + 137843244.

Almost surely, 2^12268044800 is an apocalyptic number.

12268044800 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 12268044800

12268044800 is an abundant number, since it is smaller than the sum of its proper divisors (21520983319).

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

12268044800 is an frugal number, since it uses more digits than its factorization.

12268044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 12268044800 in words is "twelve billion, two hundred sixty-eight million, forty-four thousand, eight hundred".