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121021221101220 = 223251161121828839
BaseRepresentation
bin11011100001000101110010…
…111001001101111010100100
3120212111111220222110002122100
4123201011302321031322210
5111330302430100214340
61105220214221132100
734330331451262026
oct3341056271157244
9525444828402570
10121021221101220
11356198a2327590
12116a68820ba030
13526b33807202b
1421c565ba22016
15ded08de40830
hex6e1172e4dea4

121021221101220 has 72 divisors (see below), whose sum is σ = 400470222559680. Its totient is φ = 29338477842240.

The previous prime is 121021221101213. The next prime is 121021221101227. The reversal of 121021221101220 is 22101122120121.

121021221101220 is a `hidden beast` number, since 1 + 21 + 0 + 212 + 211 + 0 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (121021221101213) and next prime (121021221101227).

It is a super-2 number, since 2×1210212211012202 (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 = 121021221101193 and 121021221101202.

It is not an unprimeable number, because it can be changed into a prime (121021221101227) 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, 30560912440 + ... + 30560916399.

It is an arithmetic number, because the mean of its divisors is an integer number (5562086424440).

Almost surely, 2121021221101220 is an apocalyptic number.

121021221101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121021221101220 is an abundant number, since it is smaller than the sum of its proper divisors (279449001458460).

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

121021221101220 is a wasteful number, since it uses less digits than its factorization.

121021221101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61121828865 (or 61121828860 counting only the distinct ones).

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

Adding to 121021221101220 its reverse (22101122120121), we get a palindrome (143122343221341).

The spelling of 121021221101220 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred twenty-one million, one hundred 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 99 110 132 165 180 198 220 330 396 495 660 990 1980 61121828839 122243657678 183365486517 244487315356 305609144195 366730973034 550096459551 611218288390 672340117229 733461946068 916827432585 1100192919102 1222436576780 1344680234458 1833654865170 2017020351687 2200385838204 2689360468916 2750482297755 3361700586145 3667309730340 4034040703374 5500964595510 6051061055061 6723401172290 8068081406748 10085101758435 11001929191020 12102122110122 13446802344580 20170203516870 24204244220244 30255305275305 40340407033740 60510610550610 121021221101220