1216588800 has 528 divisors, whose sum is σ = 4808517632. Its totient is φ = 265420800.

The previous prime is 1216588783. The next prime is 1216588811. The reversal of 1216588800 is 88856121.

1216588800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665564 + ... + 16665636.

Almost surely, 2^1216588800 is an apocalyptic number.

1216588800 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 1216588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404258816).

1216588800 is an abundant number, since it is smaller than the sum of its proper divisors (3591928832).

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

1216588800 is a wasteful number, since it uses less digits than its factorization.

1216588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 1216588800 is about 34879.6330255925. The cubic root of 1216588800 is about 1067.5329074459.

The spelling of 1216588800 in words is "one billion, two hundred sixteen million, five hundred eighty-eight thousand, eight hundred".