Search a number
-
+
120000101212200 = 233521118181833517
BaseRepresentation
bin11011010010001110110011…
…011001111110000000101000
3120201212220020101020010222110
4123102032303121332000220
5111212040201402242300
61103115141354122320
734163502242365356
oct3322166331760050
9521786211203873
10120000101212200
1135265836813460
12115609a71203a0
1351c5c653a6151
14218c0706987d6
15dd1728499550
hex6d23b367e028

120000101212200 has 96 divisors (see below), whose sum is σ = 405818524121760. Its totient is φ = 29090933625600.

The previous prime is 120000101212129. The next prime is 120000101212253. The reversal of 120000101212200 is 2212101000021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9090910159 + ... + 9090923358.

It is an arithmetic number, because the mean of its divisors is an integer number (4227276292935).

Almost surely, 2120000101212200 is an apocalyptic number.

120000101212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120000101212200 is an abundant number, since it is smaller than the sum of its proper divisors (285818422909560).

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

120000101212200 is a wasteful number, since it uses less digits than its factorization.

120000101212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18181833547 (or 18181833538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120000101212200 its reverse (2212101000021), we get a palindrome (122212202212221).

The spelling of 120000101212200 in words is "one hundred twenty trillion, one hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 18181833517 36363667034 54545500551 72727334068 90909167585 109091001102 145454668136 181818335170 200000168687 218182002204 272727502755 363636670340 400000337374 436364004408 454545837925 545455005510 600000506061 727273340680 800000674748 909091675850 1000000843435 1090910011020 1200001012122 1363637513775 1600001349496 1818183351700 2000001686870 2181820022040 2400002024244 2727275027550 3000002530305 3636366703400 4000003373740 4800004048488 5000004217175 5454550055100 6000005060610 8000006747480 10000008434350 10909100110200 12000010121220 15000012651525 20000016868700 24000020242440 30000025303050 40000033737400 60000050606100 120000101212200