Search a number
-
+
121011202022220 = 223252713537027633
BaseRepresentation
bin11011100000111100011101…
…101101011101101101001100
3120212110120001201210011001100
4123200330131231131231030
5111330121420204202340
61105211440113343100
734326525252435126
oct3340743555355514
9525416051704040
10121011202022220
1135615620871204
12116a4946867a90
13526a3cc434713
1421c4d8b134216
15decba4564830
hex6e0f1db5db4c

121011202022220 has 144 divisors (see below), whose sum is σ = 369465545135232. Its totient is φ = 32059494973440.

The previous prime is 121011202022201. The next prime is 121011202022233. The reversal of 121011202022220 is 22220202110121.

It is a happy number.

121011202022220 is a `hidden beast` number, since 1 + 210 + 11 + 20 + 202 + 2 + 220 = 666.

It is a super-2 number, since 2×1210112020222202 (a number of 29 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 = 121011202022193 and 121011202022202.

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, 13705524 + ... + 20733156.

It is an arithmetic number, because the mean of its divisors is an integer number (2565732952328).

Almost surely, 2121011202022220 is an apocalyptic number.

121011202022220 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 121011202022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184732772567616).

121011202022220 is an abundant number, since it is smaller than the sum of its proper divisors (248454343113012).

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

121011202022220 is a wasteful number, since it uses less digits than its factorization.

121011202022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028272 (or 7028267 counting only the distinct ones).

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

Adding to 121011202022220 its reverse (22220202110121), we get a palindrome (143231404132341).

The spelling of 121011202022220 in words is "one hundred twenty-one trillion, eleven billion, two hundred two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 353 542 706 813 1059 1084 1355 1412 1626 1765 2118 2439 2710 3177 3252 3530 4065 4236 4878 5295 5420 6354 7060 8130 9756 10590 12195 12708 15885 16260 21180 24390 31770 48780 63540 95663 191326 286989 382652 478315 573978 860967 956630 1147956 1434945 1721934 1913260 2869890 3443868 4304835 5739780 7027633 8609670 14055266 17219340 21082899 28110532 35138165 42165798 63248697 70276330 84331596 105414495 126497394 140552660 210828990 252994788 316243485 421657980 632486970 1264973940 1904488543 2480754449 3808977086 4961508898 5713465629 7442263347 7617954172 9522442715 9923017796 11426931258 12403772245 14884526694 17140396887 19044885430 22326790041 22853862516 24807544490 28567328145 29769053388 34280793774 37211316735 38089770860 44653580082 49615088980 57134656290 68561587548 74422633470 85701984435 89307160164 111633950205 114269312580 148845266940 171403968870 223267900410 342807937740 446535800820 672284455679 1344568911358 2016853367037 2689137822716 3361422278395 4033706734074 6050560101111 6722844556790 8067413468148 10084266835185 12101120202222 13445689113580 20168533670370 24202240404444 30252800505555 40337067340740 60505601011110 121011202022220