12064800 has 144 divisors (see below), whose sum is σ = 42934752. Its totient is φ = 2918400.

The previous prime is 12064799. The next prime is 12064879. The reversal of 12064800 is 846021.

Added to its reverse (846021) it gives a triangular number (12910821 = T₅₀₈₁).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26172 + ... + 26628.

It is an arithmetic number, because the mean of its divisors is an integer number (298158).

Almost surely, 2^12064800 is an apocalyptic number.

12064800 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 12064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21467376).

12064800 is an abundant number, since it is smaller than the sum of its proper divisors (30869952).

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

12064800 is a wasteful number, since it uses less digits than its factorization.

12064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12064800 is about 3473.4420968256. The cubic root of 12064800 is about 229.3542060805.

Adding to 12064800 its reverse (846021), we get a triangular number (12910821 = T₅₀₈₁).

It can be divided in two parts, 1206 and 4800, that added together give a palindrome (6006).

The spelling of 12064800 in words is "twelve million, sixty-four thousand, eight hundred".