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12032202044044 = 227213109280115467
BaseRepresentation
bin1010111100010111011100…
…1000001111001010001100
31120121021012211220102201101
42233011313020033022030
53034113422210402134
641331303423352444
72351204116612600
oct257056710171214
946537184812641
1012032202044044
113919912414146
121423b08152724
1369382a050810
142d850c677500
1515ceba01be14
hexaf17720f28c

12032202044044 has 144 divisors (see below), whose sum is σ = 26631517318560. Its totient is φ = 4714333747200.

The previous prime is 12032202044039. The next prime is 12032202044053. The reversal of 12032202044044 is 44044020223021.

12032202044044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120322020440442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777919599 + ... + 777935065.

It is an arithmetic number, because the mean of its divisors is an integer number (184941092490).

Almost surely, 212032202044044 is an apocalyptic number.

12032202044044 is a gapful number since it is divisible by the number (14) 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 12032202044044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315758659280).

12032202044044 is an abundant number, since it is smaller than the sum of its proper divisors (14599315274516).

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

12032202044044 is a wasteful number, since it uses less digits than its factorization.

12032202044044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18408 (or 18399 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 12032202044044 its reverse (44044020223021), we get a palindrome (56076222267065).

The spelling of 12032202044044 in words is "twelve trillion, thirty-two billion, two hundred two million, forty-four thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 109 182 196 218 364 436 637 763 1274 1417 1526 2548 2801 2834 3052 5341 5602 5668 9919 10682 11204 15467 19607 19838 21364 30934 36413 39214 39676 61868 69433 72826 78428 108269 137249 138866 145652 201071 216538 254891 274498 277732 305309 402142 433076 509782 548996 610618 757883 804284 1019564 1221236 1407497 1515766 1685903 1784237 2137163 2814994 3031532 3371806 3568474 3969017 4274326 5629988 6743612 7136948 7938034 8548652 9852479 11801321 14960141 15876068 19704958 21916739 23602642 27783119 29920282 39409916 43323067 43833478 47205284 55566238 59840564 82609247 86646134 87666956 111132476 153417173 165218494 173292268 194481833 303261469 306834346 330436988 388963666 563199871 606522938 613668692 777927332 1073920211 1126399742 1213045876 2122830283 2147840422 2252799484 3942399097 4245660566 4295680844 4722214303 7884798194 8491321132 9444428606 15769596388 18888857212 27596793679 33055500121 55193587358 61388785939 66111000242 110387174716 122777571878 132222000484 231388500847 245555143756 429721501573 462777001694 859443003146 925554003388 1718886006292 3008050511011 6016101022022 12032202044044