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121223102121 = 331117201111939
BaseRepresentation
bin111000011100101110…
…1011011111010101001
3102120220020122122012000
41300321131123322221
53441231103231441
6131404503441213
711521010236542
oct1607135337251
9376806578160
10121223102121
114745730a920
121b5b1456209
13b57b709c34
145c1d96b4c9
1532475562b6
hex1c3975bea9

121223102121 has 64 divisors (see below), whose sum is σ = 207561139200. Its totient is φ = 69106694400.

The previous prime is 121223102089. The next prime is 121223102171. The reversal of 121223102121 is 121201322121.

121223102121 is a `hidden beast` number, since 121 + 22 + 310 + 212 + 1 = 666.

It is not a de Polignac number, because 121223102121 - 25 = 121223102089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121223102094 and 121223102103.

It is not an unprimeable number, because it can be changed into a prime (121223102171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10147570 + ... + 10159508.

It is an arithmetic number, because the mean of its divisors is an integer number (3243142800).

Almost surely, 2121223102121 is an apocalyptic number.

121223102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121223102121 is a deficient number, since it is larger than the sum of its proper divisors (86338037079).

121223102121 is a wasteful number, since it uses less digits than its factorization.

121223102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13987 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121223102121 its reverse (121201322121), we get a palindrome (242424424242).

The spelling of 121223102121 in words is "one hundred twenty-one billion, two hundred twenty-three million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 2011 5049 6033 11939 18099 22121 34187 35817 54297 66363 102561 107451 131329 199089 202963 307683 322353 376057 393987 597267 608889 923049 1128171 1181961 1826667 2232593 3384513 3545883 5480001 6697779 10153539 20093337 24009329 60280011 72027987 216083961 264102619 408158593 648251883 792307857 1224475779 2376923571 3673427337 4489744523 7130770713 11020282011 13469233569 40407700707 121223102121