1141216200 has 144 divisors (see below), whose sum is σ = 3844644180. Its totient is φ = 303367680.

The previous prime is 1141216163. The next prime is 1141216211. The reversal of 1141216200 is 26121411.

1141216200 is a `hidden beast` number, since 1 + 1 + 41 + 2 + 1 + 620 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 332041284 + 809174916 = 18222^2 + 28446^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 713802 + ... + 715398.

Almost surely, 2^1141216200 is an apocalyptic number.

1141216200 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 1141216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922322090).

1141216200 is an abundant number, since it is smaller than the sum of its proper divisors (2703427980).

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

1141216200 is a wasteful number, since it uses less digits than its factorization.

1141216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141216200 is about 33781.8915989025. The cubic root of 1141216200 is about 1045.0152848355.

Adding to 1141216200 its reverse (26121411), we get a palindrome (1167337611).

The spelling of 1141216200 in words is "one billion, one hundred forty-one million, two hundred sixteen thousand, two hundred".