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121232221312240 = 24519294167079933
BaseRepresentation
bin11011100100001010010011…
…011111001001010011110000
3120220020200112221120101211201
4123210022103133021103300
5111342232042123442430
61105501151424020544
734351511313421063
oct3344122337112360
9526220487511751
10121232221312240
11356a0329460075
121171b749761754
1352851c33608bc
1421d1956a2a8da
15e037dce968ca
hex6e42937c94f0

121232221312240 has 160 divisors (see below), whose sum is σ = 314417066644800. Its totient is φ = 43274605731840.

The previous prime is 121232221312229. The next prime is 121232221312247. The reversal of 121232221312240 is 42213122232121.

It is a super-3 number, since 3×1212322213122403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121232221312199 and 121232221312208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121232221312247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31732687 + ... + 35347246.

It is an arithmetic number, because the mean of its divisors is an integer number (1965106666530).

Almost surely, 2121232221312240 is an apocalyptic number.

121232221312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121232221312240 is an abundant number, since it is smaller than the sum of its proper divisors (193184845332560).

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

121232221312240 is a wasteful number, since it uses less digits than its factorization.

121232221312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67080035 (or 67080029 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 121232221312240 its reverse (42213122232121), we get a palindrome (163445343544361).

The spelling of 121232221312240 in words is "one hundred twenty-one trillion, two hundred thirty-two billion, two hundred twenty-one million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 41 58 76 80 82 95 116 145 152 164 190 205 232 290 304 328 380 410 464 551 580 656 760 779 820 1102 1160 1189 1520 1558 1640 2204 2320 2378 2755 3116 3280 3895 4408 4756 5510 5945 6232 7790 8816 9512 11020 11890 12464 15580 19024 22040 22591 23780 31160 44080 45182 47560 62320 90364 95120 112955 180728 225910 361456 451820 903640 1807280 67079933 134159866 268319732 335399665 536639464 670799330 1073278928 1274518727 1341598660 1945318057 2549037454 2683197320 2750277253 3890636114 5098074908 5366394640 5500554506 6372593635 7781272228 9726590285 10196149816 11001109012 12745187270 13751386265 15562544456 19453180570 20392299632 22002218024 25490374540 27502772530 31125088912 36961043083 38906361140 44004436048 50980749080 52255267807 55005545060 73922086166 77812722280 79758040337 101961498160 104510535614 110011090120 147844172332 155625444560 159516080674 184805215415 209021071228 220022180240 261276339035 295688344664 319032161348 369610430830 398790201685 418042142456 522552678070 591376689328 638064322696 739220861660 797580403370 836084284912 1045105356140 1276128645392 1478441723320 1515402766403 1595160806740 2090210712280 2956883446640 3030805532806 3190321613480 4180421424560 6061611065612 6380643226960 7577013832015 12123222131224 15154027664030 24246444262448 30308055328060 60616110656120 121232221312240