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12134171184 = 2432916353479
BaseRepresentation
bin10110100110100000…
…01100001000110000
31011022122120202121120
423103100030020300
5144322321434214
65324021222240
7606460516242
oct132320141060
934278522546
1012134171184
115167472453
122427861980
1311b4bb0a65
14831786092
154b0424ea9
hex2d340c230

12134171184 has 80 divisors (see below), whose sum is σ = 32627078400. Its totient is φ = 3881219328.

The previous prime is 12134171177. The next prime is 12134171207. The reversal of 12134171184 is 48117143121.

It is a super-2 number, since 2×121341711842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200157 + ... + 253635.

It is an arithmetic number, because the mean of its divisors is an integer number (407838480).

Almost surely, 212134171184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134171184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313539200).

12134171184 is an abundant number, since it is smaller than the sum of its proper divisors (20492907216).

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

12134171184 is a wasteful number, since it uses less digits than its factorization.

12134171184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53682 (or 53676 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The spelling of 12134171184 in words is "twelve billion, one hundred thirty-four million, one hundred seventy-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 163 174 232 326 348 464 489 652 696 978 1304 1392 1956 2608 3912 4727 7824 9454 14181 18908 28362 37816 53479 56724 75632 106958 113448 160437 213916 226896 320874 427832 641748 855664 1283496 1550891 2566992 3101782 4652673 6203564 8717077 9305346 12407128 17434154 18610692 24814256 26151231 34868308 37221384 52302462 69736616 74442768 104604924 139473232 209209848 252795233 418419696 505590466 758385699 1011180932 1516771398 2022361864 3033542796 4044723728 6067085592 12134171184