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12112241210120 = 2351941520974623
BaseRepresentation
bin1011000001000001100111…
…0101011011001100001000
31120212220210220201100110202
42300100121311123030020
53041421332222210440
641432141540431332
72360036425400162
oct260203165331410
946786726640422
1012112241210120
11394a855441287
1214375250a8548
1369b24431970c
142dc3426c9932
15160101b75615
hexb0419d5b308

12112241210120 has 128 divisors (see below), whose sum is σ = 29392602624000. Its totient is φ = 4477033451520.

The previous prime is 12112241210117. The next prime is 12112241210123. The reversal of 12112241210120 is 2101214221121.

It is an interprime number because it is at equal distance from previous prime (12112241210117) and next prime (12112241210123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12112241210092 and 12112241210101.

It is not an unprimeable number, because it can be changed into a prime (12112241210123) 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, 162275129 + ... + 162349751.

It is an arithmetic number, because the mean of its divisors is an integer number (229629708000).

Almost surely, 212112241210120 is an apocalyptic number.

12112241210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112241210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696301312000).

12112241210120 is an abundant number, since it is smaller than the sum of its proper divisors (17280361413880).

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

12112241210120 is a wasteful number, since it uses less digits than its factorization.

12112241210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79903 (or 79899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12112241210120 its reverse (2101214221121), we get a palindrome (14213455431241).

The spelling of 12112241210120 in words is "twelve trillion, one hundred twelve billion, two hundred forty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1640 3116 3895 5209 6232 7790 10418 15580 20836 26045 31160 41672 52090 74623 98971 104180 149246 197942 208360 213569 298492 373115 395884 427138 494855 596984 746230 791768 854276 989710 1067845 1417837 1492460 1708552 1979420 2135690 2835674 2984920 3059543 3958840 4057811 4271380 5671348 6119086 7089185 8115622 8542760 11342696 12238172 14178370 15297715 16231244 20289055 24476344 28356740 30595430 32462488 40578110 56713480 58131317 61190860 81156220 116262634 122381720 162312440 232525268 290656585 388711207 465050536 581313170 777422414 1162626340 1554844828 1943556035 2325252680 3109689656 3887112070 7385512933 7774224140 14771025866 15548448280 15937159487 29542051732 31874318974 36927564665 59084103464 63748637948 73855129330 79685797435 127497275896 147710258660 159371594870 295420517320 302806030253 318743189740 605612060506 637486379480 1211224121012 1514030151265 2422448242024 3028060302530 6056120605060 12112241210120