12233894400 has 960 divisors, whose sum is σ = 55408953600. Its totient is φ = 2574581760.

The previous prime is 12233894377. The next prime is 12233894461. The reversal of 12233894400 is 449833221.

12233894400 is a `hidden beast` number, since 12 + 233 + 8 + 9 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31449406 + ... + 31449794.

It is an arithmetic number, because the mean of its divisors is an integer number (57717660).

Almost surely, 2^12233894400 is an apocalyptic number.

12233894400 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 12233894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27704476800).

12233894400 is an abundant number, since it is smaller than the sum of its proper divisors (43175059200).

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

12233894400 is a wasteful number, since it uses less digits than its factorization.

12233894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12233894400 in words is "twelve billion, two hundred thirty-three million, eight hundred ninety-four thousand, four hundred".