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12124112 = 2471113757
BaseRepresentation
bin101110001111…
…111111010000
3211210222011012
4232033333100
511100432422
61111510052
7205024160
oct56177720
924728135
1012124112
116931030
124088328
132686640
1418785a0
1510e74e2
hexb8ffd0

12124112 has 80 divisors (see below), whose sum is σ = 31581312. Its totient is φ = 4354560.

The previous prime is 12124097. The next prime is 12124129. The reversal of 12124112 is 21142121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15638 + ... + 16394.

Almost surely, 212124112 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 12124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15790656).

12124112 is an abundant number, since it is smaller than the sum of its proper divisors (19457200).

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

12124112 is a wasteful number, since it uses less digits than its factorization.

12124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 12124112 is about 3481.9695575924. The cubic root of 12124112 is about 229.7294360963.

Adding to 12124112 its reverse (21142121), we get a palindrome (33266233).

Subtracting 12124112 from its reverse (21142121), we obtain a square (9018009 = 30032).

The spelling of 12124112 in words is "twelve million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 757 1001 1144 1232 1456 1514 2002 2288 3028 4004 5299 6056 8008 8327 9841 10598 12112 16016 16654 19682 21196 33308 39364 42392 58289 66616 68887 78728 84784 108251 116578 133232 137774 157456 216502 233156 275548 433004 466312 551096 757757 866008 932624 1102192 1515514 1732016 3031028 6062056 12124112