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12042203334 = 23717231674391
BaseRepresentation
bin10110011011100010…
…10111000011000110
31011002020112022102220
423031301113003012
5144130301001314
65310534113210
7604263016350
oct131561270306
934066468386
1012042203334
11511a567667
122400aab806
13119bb20205
148234860d0
154a730a3a9
hex2cdc570c6

12042203334 has 128 divisors (see below), whose sum is σ = 30600364032. Its totient is φ = 3078197760.

The previous prime is 12042203279. The next prime is 12042203347. The reversal of 12042203334 is 43330224021.

12042203334 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 2×120422033342 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2740279 + ... + 2744669.

It is an arithmetic number, because the mean of its divisors is an integer number (239065344).

Almost surely, 212042203334 is an apocalyptic number.

12042203334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042203334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300182016).

12042203334 is an abundant number, since it is smaller than the sum of its proper divisors (18558160698).

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

12042203334 is a wasteful number, since it uses less digits than its factorization.

12042203334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12042203334 its reverse (43330224021), we get a palindrome (55372427355).

The spelling of 12042203334 in words is "twelve billion, forty-two million, two hundred three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 167 238 322 334 357 391 483 501 714 782 966 1002 1169 1173 2338 2346 2737 2839 3507 3841 4391 5474 5678 7014 7682 8211 8517 8782 11523 13173 16422 17034 19873 23046 26346 26887 30737 39746 53774 59619 61474 65297 74647 80661 92211 100993 119238 130594 149294 161322 184422 195891 201986 223941 302979 391782 447882 457079 522529 605958 706951 733297 914158 1045058 1371237 1413902 1466594 1567587 1716881 2120853 2199891 2742474 3135174 3433762 4241706 4399782 5133079 5150643 10266158 10301286 12018167 12466049 15399237 16865831 24036334 24932098 30798474 33731662 36054501 37398147 50597493 72109002 74796294 87262343 101194986 118060817 174524686 236121634 261787029 286719127 354182451 523574058 573438254 708364902 860157381 1720314762 2007033889 4014067778 6021101667 12042203334