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12016212 = 223131723197
BaseRepresentation
bin101101110101…
…101001010100
3211121111010220
4231311221110
511034004322
61105314340
7204064455
oct55655124
924544126
1012016212
116867a5a
1240359b0
1326494b0
14184b12c
1510c555c
hexb75a54

12016212 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 3311616.

The previous prime is 12016201. The next prime is 12016219. The reversal of 12016212 is 21261021.

It is a junction number, because it is equal to n+sod(n) for n = 12016191 and 12016200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12016219) 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 31 ways as a sum of consecutive naturals, for example, 60898 + ... + 61094.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 212016212 is an apocalyptic number.

12016212 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 12016212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

12016212 is an abundant number, since it is smaller than the sum of its proper divisors (21513900).

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

12016212 is a wasteful number, since it uses less digits than its factorization.

12016212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12016212 is about 3466.4408259770. The cubic root of 12016212 is about 229.0459027120.

Adding to 12016212 its reverse (21261021), we get a palindrome (33277233).

The spelling of 12016212 in words is "twelve million, sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 197 204 221 276 299 391 394 442 591 598 663 782 788 884 897 1173 1182 1196 1326 1564 1794 2346 2364 2561 2652 3349 3588 4531 4692 5083 5122 6698 7683 9062 10047 10166 10244 13396 13593 15249 15366 18124 20094 20332 27186 30498 30732 40188 43537 54372 58903 60996 77027 87074 117806 130611 154054 174148 176709 231081 235612 261222 308108 353418 462162 522444 706836 924324 1001351 2002702 3004053 4005404 6008106 12016212