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12114112 = 262961107
BaseRepresentation
bin101110001101…
…100011000000
3211210110102211
4232031203000
511100122422
61111351504
7204653053
oct56154300
924713384
1012114112
11692456a
124082594
132681c1a
141874a9a
1510e4577
hexb8d8c0

12114112 has 56 divisors (see below), whose sum is σ = 25511760. Its totient is φ = 5698560.

The previous prime is 12114107. The next prime is 12114127. The reversal of 12114112 is 21141121.

It is a super-3 number, since 3×121141123 (a number of 22 digits) contains 333 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 = 12114092 and 12114101.

It is a congruent number.

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, 113163 + ... + 113269.

Almost surely, 212114112 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 12114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755880).

12114112 is an abundant number, since it is smaller than the sum of its proper divisors (13397648).

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

12114112 is a wasteful number, since it uses less digits than its factorization.

12114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its digits is 16, while the sum is 13.

The square root of 12114112 is about 3480.5332924711. The cubic root of 12114112 is about 229.6662582389. Note that the first 3 decimals are identical.

Adding to 12114112 its reverse (21141121), we get a palindrome (33255233).

The spelling of 12114112 in words is "twelve million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 61 64 107 116 122 214 232 244 428 464 488 856 928 976 1712 1769 1856 1952 3103 3424 3538 3904 6206 6527 6848 7076 12412 13054 14152 24824 26108 28304 49648 52216 56608 99296 104432 113216 189283 198592 208864 378566 417728 757132 1514264 3028528 6057056 12114112