11712218112 has 352 divisors, whose sum is σ = 40232556800. Its totient is φ = 3296526336.

The previous prime is 11712218083. The next prime is 11712218113. The reversal of 11712218112 is 21181221711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (11712218113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14127714 + ... + 14128542.

Almost surely, 2^11712218112 is an apocalyptic number.

11712218112 is a gapful number since it is divisible by the number (12) 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 11712218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116278400).

11712218112 is an abundant number, since it is smaller than the sum of its proper divisors (28520338688).

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

11712218112 is an equidigital number, since it uses as much as digits as its factorization.

11712218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 914 counting only the distinct ones).

The product of its digits is 448, while the sum is 27.

Adding to 11712218112 its reverse (21181221711), we get a palindrome (32893439823).

The spelling of 11712218112 in words is "eleven billion, seven hundred twelve million, two hundred eighteen thousand, one hundred twelve".