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12211112 = 234159631
BaseRepresentation
bin101110100101…
…001110101000
3211222101111102
4232211032220
511111223422
61113420532
7205535624
oct56451650
924871442
1012211112
116990431
12410a748
1326b7114
14189c184
151113192
hexba53a8

12211112 has 32 divisors (see below), whose sum is σ = 23889600. Its totient is φ = 5846400.

The previous prime is 12211103. The next prime is 12211123. The reversal of 12211112 is 21111221.

12211112 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 2×122111122 = 298222512553088, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 12211093 and 12211102.

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, 19037 + ... + 19667.

It is an arithmetic number, because the mean of its divisors is an integer number (746550).

Almost surely, 212211112 is an apocalyptic number.

It is an amenable number.

12211112 is a deficient number, since it is larger than the sum of its proper divisors (11678488).

12211112 is a wasteful number, since it uses less digits than its factorization.

12211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its digits is 8, while the sum is 11.

The square root of 12211112 is about 3494.4401554469. The cubic root of 12211112 is about 230.2776231702.

Adding to 12211112 its reverse (21111221), we get a palindrome (33322333).

The spelling of 12211112 in words is "twelve million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 41 59 82 118 164 236 328 472 631 1262 2419 2524 4838 5048 9676 19352 25871 37229 51742 74458 103484 148916 206968 297832 1526389 3052778 6105556 12211112