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12012011028 = 22321721279091
BaseRepresentation
bin10110010111111100…
…01011111000010100
31011000010201101101100
423023332023320110
5144100033323103
65303535030100
7603445260213
oct131376137024
934003641340
1012012011028
115104515746
1223b296b330
1311957ab844
1481d46707a
154a48445a3
hex2cbf8be14

12012011028 has 108 divisors (see below), whose sum is σ = 32512410112. Its totient is φ = 3738389760.

The previous prime is 12012011023. The next prime is 12012011029. The reversal of 12012011028 is 82011021021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12012011028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1316763 + ... + 1325853.

Almost surely, 212012011028 is an apocalyptic number.

12012011028 is a gapful number since it is divisible by the number (18) 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 12012011028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256205056).

12012011028 is an abundant number, since it is smaller than the sum of its proper divisors (20500399084).

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

12012011028 is a wasteful number, since it uses less digits than its factorization.

12012011028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012011028 its reverse (82011021021), we get a palindrome (94023032049).

The spelling of 12012011028 in words is "twelve billion, twelve million, eleven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 127 153 204 254 289 306 381 508 578 612 762 867 1143 1156 1524 1734 2159 2286 2601 3468 4318 4572 5202 6477 8636 9091 10404 12954 18182 19431 25908 27273 36364 36703 38862 54546 73406 77724 81819 109092 110109 146812 154547 163638 220218 309094 327276 330327 440436 463641 618188 660654 927282 1154557 1321308 1390923 1854564 2309114 2627299 2781846 3463671 4618228 5254598 5563692 6927342 7881897 10391013 10509196 13854684 15763794 19627469 20782026 23645691 31527588 39254938 41564052 47291382 58882407 78509876 94582764 117764814 176647221 235529628 333666973 353294442 667333946 706588884 1001000919 1334667892 2002001838 3003002757 4004003676 6006005514 12012011028