Search a number
-
+
12120122121160 = 23513719137930553
BaseRepresentation
bin1011000001011110111110…
…0100101101101111001000
31120220200011011001010000211
42300113233210231233020
53042034002230334120
641435523544010504
72360435632132204
oct260275744555710
946820134033024
1012120122121160
113953129a6a3a9
121438b64460a34
1369bbcbc944a1
142dc88d233b04
1516041399a25a
hexb05ef92dbc8

12120122121160 has 128 divisors (see below), whose sum is σ = 27686910412800. Its totient is φ = 4774676336640.

The previous prime is 12120122121091. The next prime is 12120122121161. The reversal of 12120122121160 is 6112122102121.

It is not an unprimeable number, because it can be changed into a prime (12120122121161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396676444 + ... + 396706996.

It is an arithmetic number, because the mean of its divisors is an integer number (216303987600).

Almost surely, 212120122121160 is an apocalyptic number.

12120122121160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120122121160 is an abundant number, since it is smaller than the sum of its proper divisors (15566788291640).

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

12120122121160 is a wasteful number, since it uses less digits than its factorization.

12120122121160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31271 (or 31267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 12120122121160 its reverse (6112122102121), we get a palindrome (18232244223281).

The spelling of 12120122121160 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 137 191 274 379 382 548 685 758 764 955 1096 1370 1516 1528 1895 1910 2740 3032 3790 3820 5480 7580 7640 15160 26167 30553 51923 52334 61106 72389 103846 104668 122212 130835 144778 152765 207692 209336 244424 259615 261670 289556 305530 361945 415384 519230 523340 579112 611060 723890 1038460 1046680 1222120 1447780 2076920 2895560 4185761 5835623 8371522 9917293 11579587 11671246 16743044 19834586 20928805 23159174 23342492 29178115 33486088 39669172 41857610 46318348 46684984 49586465 57897935 58356230 79338344 83715220 92636696 99172930 115795870 116712460 167430440 198345860 231591740 233424920 396691720 463183480 799480351 1586403419 1598960702 2211701117 3172806838 3197921404 3997401755 4423402234 6345613676 6395842808 7932017095 7994803510 8846804468 11058505585 12691227352 15864034190 15989607020 17693608936 22117011170 31728068380 31979214040 44234022340 63456136760 88468044680 303003053029 606006106058 1212012212116 1515015265145 2424024424232 3030030530290 6060061060580 12120122121160