12233694220800 has 1440 divisors, whose sum is σ = 47066678968320. Its totient is φ = 2790855475200.

The previous prime is 12233694220789. The next prime is 12233694220823. The reversal of 12233694220800 is 802249633221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5795211745 + ... + 5795213855.

It is an arithmetic number, because the mean of its divisors is an integer number (32685193728).

Almost surely, 2^{12233694220800} is an apocalyptic number.

12233694220800 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 12233694220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533339484160).

12233694220800 is an abundant number, since it is smaller than the sum of its proper divisors (34832984747520).

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

12233694220800 is a wasteful number, since it uses less digits than its factorization.

12233694220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 12233694220800 in words is "twelve trillion, two hundred thirty-three billion, six hundred ninety-four million, two hundred twenty thousand, eight hundred".