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121321103340 = 223523217212221
BaseRepresentation
bin111000011111101001…
…1010001111111101100
3102121011002001121120210
41300333103101333230
53441431200301330
6131422324142420
711523310235433
oct1607723217754
9377132047523
10121321103340
11474a7666668
121b61a237a10
13b595b00a18
145c2c99c11a
153250e638b0
hex1c3f4d1fec

121321103340 has 144 divisors (see below), whose sum is σ = 355477088736. Its totient is φ = 30913766400.

The previous prime is 121321103339. The next prime is 121321103353. The reversal of 121321103340 is 43301123121.

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 47 ways as a sum of consecutive naturals, for example, 54623430 + ... + 54625650.

It is an arithmetic number, because the mean of its divisors is an integer number (2468590894).

Almost surely, 2121321103340 is an apocalyptic number.

121321103340 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 121321103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177738544368).

121321103340 is an abundant number, since it is smaller than the sum of its proper divisors (234155985396).

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

121321103340 is a wasteful number, since it uses less digits than its factorization.

121321103340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121321103340 its reverse (43301123121), we get a palindrome (164622226461).

The spelling of 121321103340 in words is "one hundred twenty-one billion, three hundred twenty-one million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 529 690 1058 1380 1587 1721 2116 2221 2645 3174 3442 4442 5163 5290 6348 6663 6884 7935 8605 8884 10326 10580 11105 13326 15870 17210 20652 22210 25815 26652 31740 33315 34420 39583 44420 51083 51630 66630 79166 102166 103260 118749 133260 153249 158332 197915 204332 237498 255415 306498 395830 474996 510830 593745 612996 766245 791660 910409 1021660 1174909 1187490 1532490 1820818 2349818 2374980 2731227 3064980 3524727 3641636 3822341 4552045 4699636 5462454 5874545 7049454 7644682 9104090 10924908 11467023 11749090 13656135 14098908 15289364 17623635 18208180 19111705 22934046 23498180 27312270 35247270 38223410 45868092 54624540 57335115 70494540 76446820 87913843 114670230 175827686 229340460 263741529 351655372 439569215 527483058 879138430 1054966116 1318707645 1758276860 2022018389 2637415290 4044036778 5274830580 6066055167 8088073556 10110091945 12132110334 20220183890 24264220668 30330275835 40440367780 60660551670 121321103340