Search a number
-
+
12200667474120 = 2335313279749321
BaseRepresentation
bin1011000110001011000001…
…1100110110100011001000
31121012101001111022222122120
42301202300130312203020
53044343431333132440
641540524222251240
72366316625262136
oct261426034664310
947171044288576
1012200667474120
11398430179a204
1214506a2a26b20
136a66970a0558
143027305ac756
15162579c8edd0
hexb18b07368c8

12200667474120 has 64 divisors (see below), whose sum is σ = 37782712189440. Its totient is φ = 3148559347200.

The previous prime is 12200667474013. The next prime is 12200667474131. The reversal of 12200667474120 is 2147476600221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1639870941 + ... + 1639878380.

It is an arithmetic number, because the mean of its divisors is an integer number (590354877960).

Almost surely, 212200667474120 is an apocalyptic number.

12200667474120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200667474120 is an abundant number, since it is smaller than the sum of its proper divisors (25582044715320).

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

12200667474120 is a wasteful number, since it uses less digits than its factorization.

12200667474120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279749366 (or 3279749362 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 12200667474120 in words is "twelve trillion, two hundred billion, six hundred sixty-seven million, four hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 3279749321 6559498642 9839247963 13118997284 16398746605 19678495926 26237994568 32797493210 39356991852 49196239815 65594986420 78713983704 98392479630 101672228951 131189972840 196784959260 203344457902 305016686853 393569918520 406688915804 508361144755 610033373706 813377831608 1016722289510 1220066747412 1525083434265 2033444579020 2440133494824 3050166868530 4066889158040 6100333737060 12200667474120