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12044114412 = 223114319910663
BaseRepresentation
bin10110011011110001…
…01001100111101100
31011002101010101221120
423031320221213230
5144131243130122
65311043100540
7604315166121
oct131570514754
934071111846
1012044114412
115120652470
122401671750
13119c33c025
14823822748
154a758675c
hex2cde299ec

12044114412 has 96 divisors (see below), whose sum is σ = 31531315200. Its totient is φ = 3546607680.

The previous prime is 12044114399. The next prime is 12044114413. The reversal of 12044114412 is 21441144021.

It is a super-2 number, since 2×120441144122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12044114413) 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 31 ways as a sum of consecutive naturals, for example, 1124193 + ... + 1134855.

It is an arithmetic number, because the mean of its divisors is an integer number (328451200).

Almost surely, 212044114412 is an apocalyptic number.

12044114412 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 12044114412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765657600).

12044114412 is an abundant number, since it is smaller than the sum of its proper divisors (19487200788).

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

12044114412 is a wasteful number, since it uses less digits than its factorization.

12044114412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10923 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12044114412 its reverse (21441144021), we get a palindrome (33485258433).

The spelling of 12044114412 in words is "twelve billion, forty-four million, one hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 199 258 398 473 516 597 796 946 1194 1419 1892 2189 2388 2838 4378 5676 6567 8557 8756 10663 13134 17114 21326 25671 26268 31989 34228 42652 51342 63978 94127 102684 117293 127956 188254 234586 282381 351879 376508 458509 469172 564762 703758 917018 1129524 1375527 1407516 1834036 2121937 2751054 4243874 5043599 5502108 6365811 8487748 10087198 12731622 15130797 20174396 23341307 25463244 30261594 46682614 60523188 70023921 91243291 93365228 140047842 182486582 273729873 280095684 364973164 547459746 1003676201 1094919492 2007352402 3011028603 4014704804 6022057206 12044114412