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211121212200120 = 2335521720289321
BaseRepresentation
bin110000000000001101111100…
…110110111001010010111000
31000200111222202021102111100000
4300000031330312321102320
5210133002220310400440
62025003425043113000
762320001310303525
oct6000157466712270
91020458667374300
10211121212200120
11612a7004406262
121b818856972760
1390a584ca73871
143a1c46d4ca14c
151961b31d49730
hexc0037cdb94b8

211121212200120 has 96 divisors (see below), whose sum is σ = 711556678188720. Its totient is φ = 56298989917440.

The previous prime is 211121212200113. The next prime is 211121212200121. The reversal of 211121212200120 is 21002212121112.

211121212200120 is a `hidden beast` number, since 2 + 11 + 121 + 212 + 200 + 120 = 666.

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 = 211121212200093 and 211121212200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121212200121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10860134941 + ... + 10860154380.

Almost surely, 2211121212200120 is an apocalyptic number.

211121212200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121212200120 is an abundant number, since it is smaller than the sum of its proper divisors (500435465988600).

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

211121212200120 is a wasteful number, since it uses less digits than its factorization.

211121212200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21720289347 (or 21720289331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211121212200120 its reverse (21002212121112), we get a palindrome (232123424321232).

The spelling of 211121212200120 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twelve million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 21720289321 43440578642 65160867963 86881157284 108601446605 130321735926 173762314568 195482603889 217202893210 260643471852 325804339815 390965207778 434405786420 521286943704 586447811667 651608679630 781930415556 868811572840 977413019445 1172895623334 1303217359260 1563860831112 1759343435001 1954826038890 2345791246668 2606434718520 2932239058335 3518686870002 3909652077780 4691582493336 5278030305003 5864478116670 7037373740004 7819304155560 8796717175005 10556060610006 11728956233340 14074747480008 17593434350010 21112121220012 23457912466680 26390151525015 35186868700020 42224242440024 52780303050030 70373737400040 105560606100060 211121212200120