11146221132 has 48 divisors (see below), whose sum is σ = 26655973344. Its totient is φ = 3622912000.

The previous prime is 11146221131. The next prime is 11146221179. The reversal of 11146221132 is 23112264111.

11146221132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11146221132² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11146221131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1196332 + ... + 1205612.

It is an arithmetic number, because the mean of its divisors is an integer number (555332778).

Almost surely, 2^11146221132 is an apocalyptic number.

11146221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11146221132 is an abundant number, since it is smaller than the sum of its proper divisors (15509752212).

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

11146221132 is a wasteful number, since it uses less digits than its factorization.

11146221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11770 (or 11768 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 11146221132 its reverse (23112264111), we get a palindrome (34258485243).

The spelling of 11146221132 in words is "eleven billion, one hundred forty-six million, two hundred twenty-one thousand, one hundred thirty-two".