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12021021221220 = 22325112551929349
BaseRepresentation
bin1010111011101101110010…
…1100110010000101100100
31120120012100122012210012100
42232323130230302011210
53033423022413034340
641322214135452100
72350330053313524
oct256733454620544
946505318183170
1012021021221220
1139150a5101500
121421907827030
1369276782491b
142d7b6b777684
1515ca63660830
hexaeedcb32164

12021021221220 has 108 divisors (see below), whose sum is σ = 40080005538300. Its totient is φ = 2914186957440.

The previous prime is 12021021221197. The next prime is 12021021221269. The reversal of 12021021221220 is 2212212012021.

It is a happy number.

12021021221220 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 212 + 21 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4286092402944 + 7734928818276 = 2070288^2 + 2781174^2 .

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 = 12021021221193 and 12021021221202.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 275942895 + ... + 275986454.

Almost surely, 212021021221220 is an apocalyptic number.

12021021221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021021221220 is an abundant number, since it is smaller than the sum of its proper divisors (28058984317080).

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

12021021221220 is a wasteful number, since it uses less digits than its factorization.

12021021221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551929386 (or 551929370 counting only the distinct ones).

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

Adding to 12021021221220 its reverse (2212212012021), we get a palindrome (14233233233241).

The spelling of 12021021221220 in words is "twelve trillion, twenty-one billion, twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 551929349 1103858698 1655788047 2207717396 2759646745 3311576094 4967364141 5519293490 6071222839 6623152188 8278940235 9934728282 11038586980 12142445678 16557880470 18213668517 19869456564 24284891356 24836820705 30356114195 33115760940 36427337034 49673641410 54641005551 60712228390 66783451229 72854674068 91068342585 99347282820 109282011102 121424456780 133566902458 182136685170 200350353687 218564022204 267133804916 273205027755 333917256145 364273370340 400700707374 546410055510 601051061061 667834512290 801401414748 1001751768435 1092820111020 1202102122122 1335669024580 2003503536870 2404204244244 3005255305305 4007007073740 6010510610610 12021021221220