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12242032320 = 263571821731
BaseRepresentation
bin10110110011010111…
…01001011011000000
31011121011112200021110
423121223221123000
5200032430013240
65342433123320
7612240362220
oct133153513300
934534480243
1012242032320
115212343091
1224579b9540
13120134770b
14841c22080
154b9b2dc80
hex2d9ae96c0

12242032320 has 112 divisors (see below), whose sum is σ = 44421113088. Its totient is φ = 2798177280.

The previous prime is 12242032303. The next prime is 12242032381. The reversal of 12242032320 is 2323024221.

12242032320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 904146 + ... + 917585.

Almost surely, 212242032320 is an apocalyptic number.

12242032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242032320 is an abundant number, since it is smaller than the sum of its proper divisors (32179080768).

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

12242032320 is a wasteful number, since it uses less digits than its factorization.

12242032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821758 (or 1821748 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12242032320 its reverse (2323024221), we get a palindrome (14565056541).

The spelling of 12242032320 in words is "twelve billion, two hundred forty-two million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 1821731 3643462 5465193 7286924 9108655 10930386 12752117 14573848 18217310 21860772 25504234 27325965 29147696 36434620 38256351 43721544 51008468 54651930 58295392 63760585 72869240 76512702 87443088 102016936 109303860 116590784 127521170 145738480 153025404 174886176 191281755 204033872 218607720 255042340 291476960 306050808 349772352 382563510 408067744 437215440 510084680 582953920 612101616 765127020 816135488 874430880 1020169360 1224203232 1530254040 1748861760 2040338720 2448406464 3060508080 4080677440 6121016160 12242032320