Search a number
-
+
121213331112120 = 233513283274561319
BaseRepresentation
bin11011100011111000101101…
…100010110000000010111000
3120220011212210110022210211020
4123203320231202300002320
5111341424400231041440
61105444345141302440
734350242225364252
oct3343705542600270
9526155713283736
10121213331112120
113569331542a135
1211717b57404a20
1352834a28883b0
1421d0a83cb4cd2
15e0308489a3d0
hex6e3e2d8b00b8

121213331112120 has 128 divisors (see below), whose sum is σ = 392996090995200. Its totient is φ = 29731696003584.

The previous prime is 121213331112089. The next prime is 121213331112169. The reversal of 121213331112120 is 21211133312121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136839180 + ... + 137722139.

It is an arithmetic number, because the mean of its divisors is an integer number (3070281960900).

Almost surely, 2121213331112120 is an apocalyptic number.

121213331112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121213331112120 is an abundant number, since it is smaller than the sum of its proper divisors (271782759883080).

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

121213331112120 is a wasteful number, since it uses less digits than its factorization.

121213331112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274561629 (or 274561625 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 121213331112120 its reverse (21211133312121), we get a palindrome (142424464424241).

The spelling of 121213331112120 in words is "one hundred twenty-one trillion, two hundred thirteen billion, three hundred thirty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 283 312 390 520 566 780 849 1132 1415 1560 1698 2264 2830 3396 3679 4245 5660 6792 7358 8490 11037 11320 14716 16980 18395 22074 29432 33960 36790 44148 55185 73580 88296 110370 147160 220740 441480 274561319 549122638 823683957 1098245276 1372806595 1647367914 2196490552 2745613190 3294735828 3569297147 4118419785 5491226380 6589471656 7138594294 8236839570 10707891441 10982452760 14277188588 16473679140 17846485735 21415782882 28554377176 32947358280 35692971470 42831565764 53539457205 71385942940 77700853277 85663131528 107078914410 142771885880 155401706554 214157828820 233102559831 310803413108 388504266385 428315657640 466205119662 621606826216 777008532770 932410239324 1010111092601 1165512799155 1554017065540 1864820478648 2020222185202 2331025598310 3030333277803 3108034131080 4040444370404 4662051196620 5050555463005 6060666555606 8080888740808 9324102393240 10101110926010 12121333111212 15151666389015 20202221852020 24242666222424 30303332778030 40404443704040 60606665556060 121213331112120