Search a number
-
+
121201200200 = 23522323593191
BaseRepresentation
bin111000011100000100…
…1111000110001001000
3102120211201102220101202
41300320021320301020
53441210001401300
6131402402203332
711520323126543
oct1607011706110
9376751386352
10121201200200
1147445a10663
121b5a6053548
13b57700bc12
145c1aaa985a
15324567bad5
hex1c38278c48

121201200200 has 144 divisors (see below), whose sum is σ = 295490462400. Its totient is φ = 46228969600.

The previous prime is 121201200191. The next prime is 121201200233. The reversal of 121201200200 is 2002102121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37980605 + ... + 37983795.

It is an arithmetic number, because the mean of its divisors is an integer number (2052017100).

Almost surely, 2121201200200 is an apocalyptic number.

121201200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147745231200).

121201200200 is an abundant number, since it is smaller than the sum of its proper divisors (174289262200).

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

121201200200 is a wasteful number, since it uses less digits than its factorization.

121201200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121201200200 its reverse (2002102121), we get a palindrome (123203302321).

The spelling of 121201200200 in words is "one hundred twenty-one billion, two hundred one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 359 460 529 575 718 920 1058 1150 1436 1795 2116 2300 2645 2872 3191 3590 4232 4600 5290 6382 7180 8257 8975 10580 12764 13225 14360 15955 16514 17950 21160 25528 26450 31910 33028 35900 41285 52900 63820 66056 71800 73393 79775 82570 105800 127640 146786 159550 165140 189911 206425 293572 319100 330280 366965 379822 412850 587144 638200 733930 759644 825700 949555 1145569 1467860 1519288 1651400 1688039 1834825 1899110 2291138 2935720 3376078 3669650 3798220 4582276 4747775 5727845 6752156 7339300 7596440 8440195 9164552 9495550 11455690 13504312 14678600 16880390 18991100 22911380 26348087 28639225 33760780 37982200 42200975 45822760 52696174 57278450 67521560 84401950 105392348 114556900 131740435 168803900 210784696 229113800 263480870 337607800 526961740 606006001 658702175 1053923480 1212012002 1317404350 2424024004 2634808700 3030030005 4848048008 5269617400 6060060010 12120120020 15150150025 24240240040 30300300050 60600600100 121201200200