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12111445242 = 23313311733217
BaseRepresentation
bin10110100011110010…
…11111110011111010
31011021001211011111000
423101321133303322
5144301012221432
65321450145430
7606063404661
oct132171376372
934231734430
1012111445242
115155660086
122420122276
1311b0284960
1482c74bdd8
154ad43657c
hex2d1e5fcfa

12111445242 has 128 divisors (see below), whose sum is σ = 30101944320. Its totient is φ = 3584424960.

The previous prime is 12111445237. The next prime is 12111445243. The reversal of 12111445242 is 24254411121.

12111445242 is a `hidden beast` number, since 1 + 21 + 114 + 4 + 524 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12111445243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3763218 + ... + 3766434.

It is an arithmetic number, because the mean of its divisors is an integer number (235171440).

Almost surely, 212111445242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111445242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050972160).

12111445242 is an abundant number, since it is smaller than the sum of its proper divisors (17990499078).

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

12111445242 is a wasteful number, since it uses less digits than its factorization.

12111445242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3439 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 12111445242 its reverse (24254411121), we get a palindrome (36365856363).

The spelling of 12111445242 in words is "twelve billion, one hundred eleven million, four hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 173 186 234 279 346 351 403 519 558 702 806 837 1038 1209 1557 1674 2249 2418 3114 3217 3627 4498 4671 5363 6434 6747 7254 9342 9651 10726 10881 13494 16089 19302 20241 21762 28953 32178 40482 41821 48267 57906 60723 69719 83642 86859 96534 99727 121446 125463 139438 144801 173718 199454 209157 250926 289602 299181 376389 418314 556541 598362 627471 752778 897543 1113082 1129167 1254942 1296451 1669623 1795086 1882413 2258334 2592902 2692629 3339246 3764826 3889353 5008869 5385258 7235033 7778706 10017738 11668059 14470066 15026607 17252771 21705099 23336118 30053214 34505542 35004177 43410198 51758313 65115297 70008354 103516626 130230594 155274939 195345891 224286023 310549878 390691782 448572046 465824817 672858069 931649634 1345716138 2018574207 4037148414 6055722621 12111445242