1243216800 has 432 divisors, whose sum is σ = 5308535232. Its totient is φ = 267264000.

The previous prime is 1243216763. The next prime is 1243216823. The reversal of 1243216800 is 86123421.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856075 + ... + 857525.

It is an arithmetic number, because the mean of its divisors is an integer number (12288276).

Almost surely, 2^1243216800 is an apocalyptic number.

1243216800 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 1243216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654267616).

1243216800 is an abundant number, since it is smaller than the sum of its proper divisors (4065318432).

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

1243216800 is a wasteful number, since it uses less digits than its factorization.

1243216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1243216800 is about 35259.2796296237. The cubic root of 1243216800 is about 1075.2652815646.

The spelling of 1243216800 in words is "one billion, two hundred forty-three million, two hundred sixteen thousand, eight hundred".