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12120017364 = 2234713411071
BaseRepresentation
bin10110100100110100…
…01100100111010100
31011021122221200020000
423102122030213110
5144310211023424
65322354011300
7606226306410
oct132232144724
934248850200
1012120017364
11515a485484
122422b76b30
1311b1c96610
1482d93dd40
154ae07b3c9
hex2d268c9d4

12120017364 has 120 divisors (see below), whose sum is σ = 38995934208. Its totient is φ = 3196480320.

The previous prime is 12120017363. The next prime is 12120017423. The reversal of 12120017364 is 46371002121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120017363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176052 + ... + 235019.

Almost surely, 212120017364 is an apocalyptic number.

12120017364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12120017364 is an abundant number, since it is smaller than the sum of its proper divisors (26875916844).

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

12120017364 is a wasteful number, since it uses less digits than its factorization.

12120017364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411107 (or 411096 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 12120017364 its reverse (46371002121), we get a palindrome (58491019485).

The spelling of 12120017364 in words is "twelve billion, one hundred twenty million, seventeen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 411071 822142 1233213 1644284 2466426 2877497 3699639 4932852 5343923 5754994 7399278 8632491 10687846 11098917 11509988 14798556 16031769 17264982 21375692 22197834 25897473 32063538 33296751 34529964 37407461 44395668 48095307 51794946 64127076 66593502 74814922 77692419 96190614 103589892 112222383 133187004 144285921 149629844 155384838 192381228 224444766 233077257 288571842 310769676 336667149 432857763 448889532 466154514 577143684 673334298 865715526 932309028 1010001447 1346668596 1731431052 2020002894 3030004341 4040005788 6060008682 12120017364