1216180000 has 360 divisors, whose sum is σ = 3735688572. Its totient is φ = 387072000.

The previous prime is 1216179977. The next prime is 1216180111. The reversal of 1216180000 is 816121.

It can be written as a sum of positive squares in 10 ways, for example, as 12645136 + 1203534864 = 3556^2 + 34692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1216180000.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16659964 + ... + 16660036.

Almost surely, 2^1216180000 is an apocalyptic number.

1216180000 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 1216180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867844286).

1216180000 is an abundant number, since it is smaller than the sum of its proper divisors (2519508572).

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

1216180000 is an equidigital number, since it uses as much as digits as its factorization.

1216180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1216180000 is about 34873.7723798272. The cubic root of 1216180000 is about 1067.4133227124.

Adding to 1216180000 its reverse (816121), we get a palindrome (1216996121).

The spelling of 1216180000 in words is "one billion, two hundred sixteen million, one hundred eighty thousand".