1216363200 has 336 divisors, whose sum is σ = 4362699936. Its totient is φ = 294912000.

The previous prime is 1216363193. The next prime is 1216363273. The reversal of 1216363200 is 23636121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6302304 + ... + 6302496.

It is an arithmetic number, because the mean of its divisors is an integer number (12984226).

Almost surely, 2^1216363200 is an apocalyptic number.

1216363200 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 1216363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181349968).

1216363200 is an abundant number, since it is smaller than the sum of its proper divisors (3146336736).

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

1216363200 is a wasteful number, since it uses less digits than its factorization.

1216363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1216363200 is about 34876.3988966751. The cubic root of 1216363200 is about 1067.4669168357.

Adding to 1216363200 its reverse (23636121), we get a palindrome (1239999321).

The spelling of 1216363200 in words is "one billion, two hundred sixteen million, three hundred sixty-three thousand, two hundred".