1133712216 has 288 divisors, whose sum is σ = 4052084400. Its totient is φ = 283046400.

The previous prime is 1133712211. The next prime is 1133712221. The reversal of 1133712216 is 6122173311.

It is an interprime number because it is at equal distance from previous prime (1133712211) and next prime (1133712221).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1133712216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133712211) 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, 870766 + ... + 872066.

Almost surely, 2^1133712216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133712216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026042200).

1133712216 is an abundant number, since it is smaller than the sum of its proper divisors (2918372184).

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

1133712216 is a wasteful number, since it uses less digits than its factorization.

1133712216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1345 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 1133712216 is about 33670.6432370990. The cubic root of 1133712216 is about 1042.7197721709.

Adding to 1133712216 its reverse (6122173311), we get a palindrome (7255885527).

The spelling of 1133712216 in words is "one billion, one hundred thirty-three million, seven hundred twelve thousand, two hundred sixteen".