Search a number
-
+
12120123131310 = 2352926352970251
BaseRepresentation
bin1011000001011110111110…
…1000100100010110101110
31120220200011012221102200210
42300113233220210112232
53042034003010200220
641435524021403250
72360435643540225
oct260275750442656
946820135842623
1012120123131310
11395312a59a337
121438b64869526
1369bbcc2591cc
142dc88d417cbc
15160413ae96e0
hexb05efa245ae

12120123131310 has 64 divisors (see below), whose sum is σ = 30205756500480. Its totient is φ = 3108718032000.

The previous prime is 12120123131309. The next prime is 12120123131351. The reversal of 12120123131310 is 1313132102121.

It is a super-2 number, since 2×121201231313102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26256316 + ... + 26713935.

It is an arithmetic number, because the mean of its divisors is an integer number (471964945320).

Almost surely, 212120123131310 is an apocalyptic number.

12120123131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120123131310 is an abundant number, since it is smaller than the sum of its proper divisors (18085633369170).

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

12120123131310 is a wasteful number, since it uses less digits than its factorization.

12120123131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52970553.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12120123131310 its reverse (1313132102121), we get a palindrome (13433255233431).

The spelling of 12120123131310 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 263 290 435 526 789 870 1315 1578 2630 3945 7627 7890 15254 22881 38135 45762 76270 114405 228810 52970251 105940502 158910753 264851255 317821506 529702510 794553765 1536137279 1589107530 3072274558 4608411837 7680686395 9216823674 13931176013 15361372790 23042059185 27862352026 41793528039 46084118370 69655880065 83587056078 139311760130 208967640195 404004104377 417935280390 808008208754 1212012313131 2020020521885 2424024626262 4040041043770 6060061565655 12120123131310