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121220111203101 = 331710722910778113
BaseRepresentation
bin11011100011111111000001…
…101010101111101100011101
3120220012112021222021010011000
4123203333001222233230131
5111342032241431444401
61105451430022220513
734350602234246331
oct3343770152575435
9526175258233130
10121220111203101
1135696184632909
1211719329b84739
135284013456151
1421d11285497c1
15e0332ec26186
hex6e3fc1aafb1d

121220111203101 has 64 divisors (see below), whose sum is σ = 192764413267200. Its totient is φ = 75019798315008.

The previous prime is 121220111203091. The next prime is 121220111203109. The reversal of 121220111203101 is 101302111022121.

It is a happy number.

121220111203101 is a `hidden beast` number, since 1 + 2 + 1 + 220 + 11 + 120 + 310 + 1 = 666.

It is not a de Polignac number, because 121220111203101 - 210 = 121220111202077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220111203109) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5857821 + ... + 16635933.

It is an arithmetic number, because the mean of its divisors is an integer number (3011943957300).

Almost surely, 2121220111203101 is an apocalyptic number.

It is an amenable number.

121220111203101 is a deficient number, since it is larger than the sum of its proper divisors (71544302064099).

121220111203101 is a wasteful number, since it uses less digits than its factorization.

121220111203101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778475 (or 10778469 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121220111203101 its reverse (101302111022121), we get a palindrome (222522222225222).

The spelling of 121220111203101 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, two hundred three thousand, one hundred one".

Divisors: 1 3 9 17 27 51 107 153 229 321 459 687 963 1819 2061 2889 3893 5457 6183 11679 16371 24503 35037 49113 73509 105111 220527 416551 661581 1249653 3748959 10778113 11246877 32334339 97003017 183227921 291009051 549683763 1153258091 1649051289 2468187877 3459774273 4947153867 7404563631 10379322819 19605387547 22213690893 31137968457 41959193909 58816162641 66641072679 125877581727 176448487923 264096102839 377632745181 529345463769 792288308517 1132898235543 2376864925551 4489633748263 7130594776653 13468901244789 40406703734367 121220111203101