Search a number
-
+
12120203022200 = 2352713665945221
BaseRepresentation
bin1011000001011111010001…
…1001010100111101111000
31120220200100210021022101122
42300113310121110331320
53042034133433202300
641435535554004412
72360440633600250
oct260276431247570
946820323238348
1012120203022200
1139531706a6569
121438b87576708
1369bc1297ba20
142dc899c92960
1516041ab2ac85
hexb05f4654f78

12120203022200 has 96 divisors (see below), whose sum is σ = 34682427161760. Its totient is φ = 3835844467200.

The previous prime is 12120203022113. The next prime is 12120203022227. The reversal of 12120203022200 is 222030202121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332954411 + ... + 332990810.

It is an arithmetic number, because the mean of its divisors is an integer number (361275282935).

Almost surely, 212120203022200 is an apocalyptic number.

12120203022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120203022200 is an abundant number, since it is smaller than the sum of its proper divisors (22562224139560).

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

12120203022200 is a wasteful number, since it uses less digits than its factorization.

12120203022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665945257 (or 665945248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12120203022200 its reverse (222030202121), we get a palindrome (12342233224321).

The spelling of 12120203022200 in words is "twelve trillion, one hundred twenty billion, two hundred three million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 665945221 1331890442 2663780884 3329726105 4661616547 5327561768 6659452210 8657287873 9323233094 13318904420 16648630525 17314575746 18646466188 23308082735 26637808840 33297261050 34629151492 37292932376 43286439365 46616165470 60601015111 66594522100 69258302984 86572878730 93232330940 116540413675 121202030222 133189044200 173145757460 186464661880 216432196825 233080827350 242404060444 303005075555 346291514920 432864393650 466161654700 484808120888 606010151110 865728787300 932323309400 1212020302220 1515025377775 1731457574600 2424040604440 3030050755550 6060101511100 12120203022200