Search a number
-
+
12122102022210 = 23251926326954177
BaseRepresentation
bin1011000001100110010110…
…0101011100000001000010
31120220212021010120111200100
42300121211211130001002
53042102031104202320
641440452232103230
72360535663043365
oct260314545340102
946825233514610
1012122102022210
113953a55629364
121439417534b16
1369c15622237b
142dc9da17a0dc
151604cc6dc790
hexb066595c042

12122102022210 has 96 divisors (see below), whose sum is σ = 33302426002560. Its totient is φ = 3050781456384.

The previous prime is 12122102022181. The next prime is 12122102022227. The reversal of 12122102022210 is 1222020122121.

It is a happy number.

12122102022210 is a `hidden beast` number, since 1 + 21 + 221 + 0 + 202 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13027359 + ... + 13926818.

It is an arithmetic number, because the mean of its divisors is an integer number (346900270860).

Almost surely, 212122102022210 is an apocalyptic number.

12122102022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122102022210 is an abundant number, since it is smaller than the sum of its proper divisors (21180323980350).

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

12122102022210 is a wasteful number, since it uses less digits than its factorization.

12122102022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26954472 (or 26954469 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122102022210 its reverse (1222020122121), we get a palindrome (13344122144331).

The spelling of 12122102022210 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 263 285 342 526 570 789 855 1315 1578 1710 2367 2630 3945 4734 4997 7890 9994 11835 14991 23670 24985 29982 44973 49970 74955 89946 149910 224865 449730 26954177 53908354 80862531 134770885 161725062 242587593 269541770 404312655 485175186 512129363 808625310 1024258726 1212937965 1536388089 2425875930 2560646815 3072776178 4609164267 5121293630 7088948551 7681940445 9218328534 14177897102 15363880890 21266845653 23045821335 35444742755 42533691306 46091642670 63800536959 70889485510 106334228265 127601073918 134690022469 212668456530 269380044938 319002684795 404070067407 638005369590 673450112345 808140134814 1212210202221 1346900224690 2020350337035 2424420404442 4040700674070 6061051011105 12122102022210