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12124101010221 = 3243131478949937
BaseRepresentation
bin1011000001101101110010…
…1110111110001100101101
31120221001102110000121201100
42300123130232332030231
53042120124324311341
641441422441233313
72360636345131644
oct260333456761455
946831373017640
1012124101010221
113954890a44672
121439894a92839
1369c3b4403c05
142dcb4985035b
15160597e503b6
hexb06dcbbe32d

12124101010221 has 48 divisors (see below), whose sum is σ = 18060784822080. Its totient is φ = 7832705287680.

The previous prime is 12124101010193. The next prime is 12124101010223. The reversal of 12124101010221 is 12201010142121.

12124101010221 is a `hidden beast` number, since 1 + 2 + 12 + 410 + 10 + 10 + 221 = 666.

It is not a de Polignac number, because 12124101010221 - 215 = 12124100977453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12124101010194 and 12124101010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124101010223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242762965 + ... + 242812901.

It is an arithmetic number, because the mean of its divisors is an integer number (376266350460).

Almost surely, 212124101010221 is an apocalyptic number.

It is an amenable number.

12124101010221 is a deficient number, since it is larger than the sum of its proper divisors (5936683811859).

12124101010221 is a wasteful number, since it uses less digits than its factorization.

12124101010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54906 (or 54903 counting only the distinct ones).

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

Adding to 12124101010221 its reverse (12201010142121), we get a palindrome (24325111152342).

The spelling of 12124101010221 in words is "twelve trillion, one hundred twenty-four billion, one hundred one million, ten thousand, two hundred twenty-one".

Divisors: 1 3 9 43 129 131 387 393 1179 4789 5633 14367 16899 43101 49937 50697 149811 205927 449433 617781 627359 1853343 1882077 2147291 5646231 6441873 6541747 19325619 19625241 26976437 58875723 80929311 239148293 242787933 281295121 717444879 843885363 2152334637 2531656089 10283376599 30850129797 31328426383 92550389391 93985279149 281955837447 1347122334469 4041367003407 12124101010221