1216564200 has 288 divisors, whose sum is σ = 4387219200. Its totient is φ = 301025280.

The previous prime is 1216564189. The next prime is 1216564207. The reversal of 1216564200 is 24656121.

1216564200 is a `hidden beast` number, since 1 + 2 + 1 + 656 + 4 + 2 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1216564207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2539561 + ... + 2540039.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^1216564200 is an apocalyptic number.

1216564200 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 1216564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193609600).

1216564200 is an abundant number, since it is smaller than the sum of its proper divisors (3170655000).

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

1216564200 is a wasteful number, since it uses less digits than its factorization.

1216564200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1216564200 is about 34879.2803824850. The cubic root of 1216564200 is about 1067.5257120576.

The spelling of 1216564200 in words is "one billion, two hundred sixteen million, five hundred sixty-four thousand, two hundred".