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11112122112 = 2837132331223
BaseRepresentation
bin10100101100101010…
…11000011100000000
31001200102102021212020
422112111120130000
5140224200401422
65034351201440
7542240323320
oct122625303400
931612367766
1011112122112
1147925598a3
1221a1516280
1310812238b0
14775b39280
1545083a95c
hex296558700

11112122112 has 576 divisors, whose sum is σ = 39382941696. Its totient is φ = 2700656640.

The previous prime is 11112122101. The next prime is 11112122113. The reversal of 11112122112 is 21122121111.

Adding to 11112122112 its reverse (21122121111), we get a palindrome (32234243223).

It is a happy number.

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 (23) and by the product (256) of the squares of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11112122091 and 11112122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112122113) 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 63 ways as a sum of consecutive naturals, for example, 49830033 + ... + 49830255.

Almost surely, 211112122112 is an apocalyptic number.

11112122112 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 11112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691470848).

11112122112 is an abundant number, since it is smaller than the sum of its proper divisors (28270819584).

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

11112122112 is a wasteful number, since it uses less digits than its factorization.

11112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its digits is 16, while the sum is 15.

The spelling of 11112122112 in words is "eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".