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12111112 = 23131011153
BaseRepresentation
bin101110001100…
…110100001000
3211210022022201
4232030310020
511100023422
61111325544
7204641236
oct56146410
924708281
1012111112
116922292
1240808b4
132680750
141873956
1510e3727
hexb8cd08

12111112 has 32 divisors (see below), whose sum is σ = 24718680. Its totient is φ = 5529600.

The previous prime is 12111103. The next prime is 12111139. The reversal of 12111112 is 21111121.

It can be written as a sum of positive squares in 4 ways, for example, as 11874916 + 236196 = 3446^2 + 486^2 .

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 unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9928 + ... + 11080.

Almost surely, 212111112 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 12111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359340).

12111112 is an abundant number, since it is smaller than the sum of its proper divisors (12607568).

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

12111112 is a wasteful number, since it uses less digits than its factorization.

12111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its digits is 4, while the sum is 10.

The square root of 12111112 is about 3480.1022973470. The cubic root of 12111112 is about 229.6472981022.

Adding to 12111112 its reverse (21111121), we get a palindrome (33222233).

Subtracting 12111112 from its reverse (21111121), we obtain a palindrome (9000009).

The spelling of 12111112 in words is "twelve million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1153 1313 2306 2626 4612 5252 9224 10504 14989 29978 59956 116453 119912 232906 465812 931624 1513889 3027778 6055556 12111112