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12122122020 = 22351078772153
BaseRepresentation
bin10110100101000100…
…01110011100100100
31011021210220121021020
423102202032130210
5144311230401040
65322511051140
7606253223421
oct132242163444
934253817236
1012122122020
115160692768
122423810ab0
1311b2552588
1482dd2ad48
154ae344cd0
hex2d288e724

12122122020 has 96 divisors (see below), whose sum is σ = 34314150528. Its totient is φ = 3197217792.

The previous prime is 12122121989. The next prime is 12122122049. The reversal of 12122122020 is 2022122121.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 5629264 + ... + 5631416.

It is an arithmetic number, because the mean of its divisors is an integer number (357439068).

Almost surely, 212122122020 is an apocalyptic number.

12122122020 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 12122122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157075264).

12122122020 is an abundant number, since it is smaller than the sum of its proper divisors (22192028508).

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

12122122020 is a wasteful number, since it uses less digits than its factorization.

12122122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122122020 its reverse (2022122121), we get a palindrome (14144244141).

The spelling of 12122122020 in words is "twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 877 1070 1284 1605 1754 2140 2153 2631 3210 3508 4306 4385 5262 6420 6459 8612 8770 10524 10765 12918 13155 17540 21530 25836 26310 32295 43060 52620 64590 93839 129180 187678 230371 281517 375356 460742 469195 563034 691113 921484 938390 1126068 1151855 1382226 1407585 1876780 1888181 2303710 2764452 2815170 3455565 3776362 4607420 5630340 5664543 6911130 7552724 9440905 11329086 13822260 18881810 22658172 28322715 37763620 56645430 113290860 202035367 404070734 606106101 808141468 1010176835 1212212202 2020353670 2424424404 3030530505 4040707340 6061061010 12122122020