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12021122012120 = 2351321889941383
BaseRepresentation
bin1010111011101110001010…
…1101010001001111011000
31120120012121122212111022122
42232323202231101033120
53033423224213341440
641322232140040412
72350332416111534
oct256734255211730
946505548774278
1012021122012120
113915146a93171
121421935533108
13692782684400
142d7b7acd2bc4
1515ca6c41e7b5
hexaeee2b513d8

12021122012120 has 96 divisors (see below), whose sum is σ = 29303683567200. Its totient is φ = 4436213723136.

The previous prime is 12021122012111. The next prime is 12021122012171. The reversal of 12021122012120 is 2121022112021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12298949 + ... + 13240331.

It is an arithmetic number, because the mean of its divisors is an integer number (305246703825).

Almost surely, 212021122012120 is an apocalyptic number.

12021122012120 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 12021122012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651841783600).

12021122012120 is an abundant number, since it is smaller than the sum of its proper divisors (17282561555080).

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

12021122012120 is a wasteful number, since it uses less digits than its factorization.

12021122012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943309 (or 943292 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12021122012120 its reverse (2121022112021), we get a palindrome (14142144124141).

Subtracting from 12021122012120 its reverse (2121022112021), we obtain a palindrome (9900099900099).

The spelling of 12021122012120 in words is "twelve trillion, twenty-one billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 1889 3380 3778 6760 7556 9445 15112 18890 24557 37780 49114 75560 98228 122785 196456 245570 319241 491140 638482 941383 982280 1276964 1596205 1882766 2553928 3192410 3765532 4706915 6384820 7531064 9413830 12237979 12769640 18827660 24475958 37655320 48951916 61189895 97903832 122379790 159093727 244759580 318187454 489519160 636374908 795468635 1272749816 1590937270 1778272487 3181874540 3556544974 6363749080 7113089948 8891362435 14226179896 17782724870 23117542331 35565449740 46235084662 71130899480 92470169324 115587711655 184940338648 231175423310 300528050303 462350846620 601056100606 924701693240 1202112201212 1502640251515 2404224402424 3005280503030 6010561006060 12021122012120