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121221021011220 = 223351317267951711
BaseRepresentation
bin11011100011111111110111…
…111001011000110100010100
3120220012121122101020011021000
4123203333313321120310110
5111342041122334324340
61105452100202423300
734350633622425204
oct3343776771306424
9526177571204230
10121221021011220
1135696601154149
1211719542801b30
135284129aa4c50
1421d11b32da404
15e03384a3dd30
hex6e3ff7e58d14

121221021011220 has 96 divisors (see below), whose sum is σ = 406142224266240. Its totient is φ = 29839020554880.

The previous prime is 121221021011213. The next prime is 121221021011231. The reversal of 121221021011220 is 22110120122121.

121221021011220 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 0 + 210 + 11 + 220 = 666.

It is a super-2 number, since 2×1212210210112202 (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 = 121221021011193 and 121221021011202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8633968836 + ... + 8633982875.

It is an arithmetic number, because the mean of its divisors is an integer number (4230648169440).

Almost surely, 2121221021011220 is an apocalyptic number.

121221021011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221021011220 is an abundant number, since it is smaller than the sum of its proper divisors (284921203255020).

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

121221021011220 is a wasteful number, since it uses less digits than its factorization.

121221021011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17267951742 (or 17267951734 counting only the distinct ones).

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

Adding to 121221021011220 its reverse (22110120122121), we get a palindrome (143331141133341).

The spelling of 121221021011220 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 17267951711 34535903422 51803855133 69071806844 86339758555 103607710266 155411565399 172679517110 207215420532 224483372243 259019275665 310823130798 345359034220 448966744486 466234696197 518038551330 621646261596 673450116729 777057826995 897933488972 932469392394 1036077102660 1122416861215 1346900233458 1554115653990 1864938784788 2020350350187 2244833722430 2331173480985 2693800466916 3108231307980 3367250583645 4040700700374 4489667444860 4662346961970 6061051050561 6734501167290 8081401400748 9324693923940 10101751750935 12122102101122 13469002334580 20203503501870 24244204202244 30305255252805 40407007003740 60610510505610 121221021011220