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11133122112 = 263471718047

11133122112 has 280 divisors, whose sum is σ = 39937480704. Its totient is φ = 2993614848.

The previous prime is 11133122089. The next prime is 11133122113. The reversal of 11133122112 is 21122133111.

Adding to 11133122112 its reverse (21122133111), we get a palindrome (32255255223).

11133122112 is a `hidden beast` number, since 111 + 331 + 221 + 1 + 2 = 666.

11133122112 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-4 number, since 4×111331221124 (a number of 41 digits) contains 4444 as substring.

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

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 an insolite number, because it is divisible by the sum (36) and by the product (5184) of the squares of its digits.

It is not an unprimeable number, because it can be changed into a prime (11133122113) 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 39 ways as a sum of consecutive naturals, for example, 607873 + ... + 625919.

Almost surely, 211133122112 is an apocalyptic number.

11133122112 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 11133122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968740352).

11133122112 is an abundant number, since it is smaller than the sum of its proper divisors (28804358592).

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

11133122112 is a wasteful number, since it uses less digits than its factorization.

11133122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18095 (or 18076 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The spelling of 11133122112 in words is "eleven billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred twelve".