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121114321020 = 223257118738407
BaseRepresentation
bin111000011001011111…
…0011110000001111100
3102120121122221222120100
41300302332132001330
53441020231233040
6131350020121100
711515216512510
oct1606276360174
9376548858510
10121114321020
1147400970a90
121b580b36190
13b562010614
145c0d332140
15323cc19b30
hex1c32f9e07c

121114321020 has 144 divisors (see below), whose sum is σ = 458032393728. Its totient is φ = 25166609280.

The previous prime is 121114321001. The next prime is 121114321039. The reversal of 121114321020 is 20123411121.

121114321020 is a `hidden beast` number, since 1 + 211 + 1 + 432 + 1 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (121114321001) and next prime (121114321039).

It is a super-2 number, since 2×1211143210202 (a number of 23 digits) contains 22 as substring.

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 = 121114320984 and 121114321002.

It is a congruent number.

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, 4355344 + ... + 4383063.

It is an arithmetic number, because the mean of its divisors is an integer number (3180780512).

Almost surely, 2121114321020 is an apocalyptic number.

121114321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121114321020 is an abundant number, since it is smaller than the sum of its proper divisors (336918072708).

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

121114321020 is a wasteful number, since it uses less digits than its factorization.

121114321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738440 (or 8738435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121114321020 its reverse (20123411121), we get a palindrome (141237732141).

The spelling of 121114321020 in words is "one hundred twenty-one billion, one hundred fourteen million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 8738407 17476814 26215221 34953628 43692035 52430442 61168849 78645663 87384070 96122477 104860884 122337698 131076105 157291326 174768140 183506547 192244954 244675396 262152210 288367431 305844245 314582652 367013094 384489908 393228315 480612385 524304420 550519641 576734862 611688490 672857339 734026188 786456630 865102293 917532735 961224770 1101039282 1153469724 1223376980 1345714678 1441837155 1572913260 1730204586 1835065470 1922449540 2018572017 2202078564 2691429356 2752598205 2883674310 3364286695 3460409172 3670130940 4037144034 4325511465 5505196410 5767348620 6055716051 6728573390 8074288068 8651022930 10092860085 11010392820 12111432102 13457146780 17302045860 20185720170 24222864204 30278580255 40371440340 60557160510 121114321020