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121002221210220 = 223257115183434847
BaseRepresentation
bin11011100000110100000110…
…011010011000101001101100
3120212102200212211210122000200
4123200310012122120221230
5111330000022112211340
61105203353015353500
734326056562001560
oct3340640632305154
9525380784718020
10121002221210220
1135611832396229
12116a305b082890
1352695ca94208c
1421c47784b56a0
15dec82adc8330
hex6e0d06698a6c

121002221210220 has 144 divisors (see below), whose sum is σ = 419838815305728. Its totient is φ = 27633620995200.

The previous prime is 121002221210209. The next prime is 121002221210231. The reversal of 121002221210220 is 22012122200121.

It is a happy number.

121002221210220 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 2 + 221 + 210 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (121002221210209) and next prime (121002221210231).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121002221210193 and 121002221210202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40267164 + ... + 43167683.

It is an arithmetic number, because the mean of its divisors is an integer number (2915547328512).

Almost surely, 2121002221210220 is an apocalyptic number.

121002221210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002221210220 is an abundant number, since it is smaller than the sum of its proper divisors (298836594095508).

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

121002221210220 is a wasteful number, since it uses less digits than its factorization.

121002221210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83436020 (or 83436015 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121002221210220 its reverse (22012122200121), we get a palindrome (143014343410341).

The spelling of 121002221210220 in words is "one hundred twenty-one trillion, two billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1151 1260 2302 3453 4604 5755 6906 8057 10359 11510 13812 16114 17265 20718 23020 24171 32228 34530 40285 41436 48342 51795 69060 72513 80570 96684 103590 120855 145026 161140 207180 241710 290052 362565 483420 725130 1450260 83434847 166869694 250304541 333739388 417174235 500609082 584043929 750913623 834348470 1001218164 1168087858 1251522705 1501827246 1668696940 1752131787 2336175716 2503045410 2920219645 3003654492 3504263574 3754568115 5006090820 5256395361 5840439290 7008527148 7509136230 8760658935 10512790722 11680878580 15018272460 17521317870 21025581444 26281976805 35042635740 52563953610 96033508897 105127907220 192067017794 288100526691 384134035588 480167544485 576201053382 672234562279 864301580073 960335088970 1152402106764 1344469124558 1440502633455 1728603160146 1920670177940 2016703686837 2688938249116 2881005266910 3361172811395 3457206320292 4033407373674 4321507900365 5762010533820 6050111060511 6722345622790 8066814747348 8643015800730 10083518434185 12100222121022 13444691245580 17286031601460 20167036868370 24200444242044 30250555302555 40334073736740 60501110605110 121002221210220