11211132330112 has 256 divisors, whose sum is σ = 26688100602240. Its totient is φ = 4623630336000.

The previous prime is 11211132330109. The next prime is 11211132330131. The reversal of 11211132330112 is 21103323111211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245367488 + ... + 2245372480.

Almost surely, 2^{11211132330112} 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 11211132330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344050301120).

11211132330112 is an abundant number, since it is smaller than the sum of its proper divisors (15476968272128).

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

11211132330112 is a wasteful number, since it uses less digits than its factorization.

11211132330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11211132330112 its reverse (21103323111211), we get a palindrome (32314455441323).

The spelling of 11211132330112 in words is "eleven trillion, two hundred eleven billion, one hundred thirty-two million, three hundred thirty thousand, one hundred twelve".