Search a number
-
+
12342432231200 = 255231497678719
BaseRepresentation
bin1011001110011011001001…
…0010011110111100100000
31121200220222022201211000002
42303212302102132330200
53104204300122344300
642130011325115132
72412465655652621
oct263466222367440
947626868654002
1012342432231200
113a2943a256475
1214740676b8aa8
136b6b6a4630b6
1430953c33ba48
151660c58a75d5
hexb39b249ef20

12342432231200 has 72 divisors (see below), whose sum is σ = 31102929285120. Its totient is φ = 4777715692800.

The previous prime is 12342432231193. The next prime is 12342432231263. The reversal of 12342432231200 is 213223424321.

12342432231200 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 2×123424322312002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248814560 + ... + 248864159.

It is an arithmetic number, because the mean of its divisors is an integer number (431985128960).

Almost surely, 212342432231200 is an apocalyptic number.

12342432231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342432231200 is an abundant number, since it is smaller than the sum of its proper divisors (18760497053920).

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

12342432231200 is a wasteful number, since it uses less digits than its factorization.

12342432231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497678770 (or 497678757 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12342432231200 its reverse (213223424321), we get a palindrome (12555655655521).

The spelling of 12342432231200 in words is "twelve trillion, three hundred forty-two billion, four hundred thirty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 12400 24800 497678719 995357438 1990714876 2488393595 3981429752 4976787190 7962859504 9953574380 12441967975 15428040289 15925719008 19907148760 24883935950 30856080578 39814297520 49767871900 61712161156 77140201445 79628595040 99535743800 123424322312 154280402890 199071487600 246848644624 308560805780 385701007225 398142975200 493697289248 617121611560 771402014450 1234243223120 1542804028900 2468486446240 3085608057800 6171216115600 12342432231200