Search a number
-
+
12122120120 = 2351173834547
BaseRepresentation
bin10110100101000100…
…01101111110111000
31011021210220111122212
423102202031332320
5144311230320440
65322511034252
7606253215035
oct132242157670
934253814585
1012122120120
1151606912a0
12242380b988
1311b2551756
1482dd2a38c
154ae344465
hex2d288dfb8

12122120120 has 128 divisors (see below), whose sum is σ = 30531997440. Its totient is φ = 4294333440.

The previous prime is 12122120111. The next prime is 12122120159. The reversal of 12122120120 is 2102122121.

It is a junction number, because it is equal to n+sod(n) for n = 12122120095 and 12122120104.

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, 2663687 + ... + 2668233.

It is an arithmetic number, because the mean of its divisors is an integer number (238531230).

Almost surely, 212122120120 is an apocalyptic number.

12122120120 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 12122120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15265998720).

12122120120 is an abundant number, since it is smaller than the sum of its proper divisors (18409877320).

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

12122120120 is a wasteful number, since it uses less digits than its factorization.

12122120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122120120 its reverse (2102122121), we get a palindrome (14224242241).

The spelling of 12122120120 in words is "twelve billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 83 88 110 146 166 220 292 332 365 415 440 584 664 730 803 830 913 1460 1606 1660 1826 2920 3212 3320 3652 4015 4547 4565 6059 6424 7304 8030 9094 9130 12118 16060 18188 18260 22735 24236 30295 32120 36376 36520 45470 48472 50017 60590 66649 90940 100034 121180 133298 181880 200068 242360 250085 266596 331931 333245 377401 400136 500170 533192 663862 666490 754802 1000340 1327724 1332980 1509604 1659655 1887005 2000680 2655448 2665960 3019208 3319310 3651241 3774010 4151411 6638620 7302482 7548020 8302822 13277240 14604964 15096040 16605644 18256205 20757055 27550273 29209928 33211288 36512410 41514110 55100546 73024820 83028220 110201092 137751365 146049640 166056440 220402184 275502730 303053003 551005460 606106006 1102010920 1212212012 1515265015 2424424024 3030530030 6061060060 12122120120