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12102012220122 = 23211433089460157
BaseRepresentation
bin1011000000011011100000…
…1000111011001011011010
31120211221102001001211010100
42300012320020323023122
53041234410112020442
641423330534000230
72356225100406666
oct260067010731332
946757361054110
1012102012220122
113946486443740
12143554b4a6076
1369a2a4064906
142dba51d998a6
1515ec03b3384c
hexb01b823b2da

12102012220122 has 96 divisors (see below), whose sum is σ = 29279522226240. Its totient is φ = 3580823554560.

The previous prime is 12102012220099. The next prime is 12102012220169. The reversal of 12102012220122 is 22102221020121.

It is a happy number.

12102012220122 is a `hidden beast` number, since 121 + 0 + 201 + 2 + 220 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12102012220095 and 12102012220104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26069668 + ... + 26529824.

It is an arithmetic number, because the mean of its divisors is an integer number (304995023190).

Almost surely, 212102012220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102012220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639761113120).

12102012220122 is an abundant number, since it is smaller than the sum of its proper divisors (17177510006118).

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

12102012220122 is a wasteful number, since it uses less digits than its factorization.

12102012220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463308 (or 463305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12102012220122 its reverse (22102221020121), we get a palindrome (34204233240243).

The spelling of 12102012220122 in words is "twelve trillion, one hundred two billion, twelve million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 3089 4257 6178 8514 9267 18534 27801 33979 55602 67958 101937 132827 203874 265654 305811 398481 460157 611622 796962 920314 1195443 1380471 1461097 2390886 2760942 2922194 4141413 4383291 5061727 8282826 8766582 10123454 13149873 15185181 19786751 26299746 30370362 39573502 45555543 59360253 91111086 118720506 178080759 217654261 356161518 435308522 652962783 1305925566 1421424973 1958888349 2842849946 3917776698 4264274919 8528549838 12792824757 15635674703 25585649514 31271349406 46907024109 61121273839 93814048218 122242547678 140721072327 183363821517 281442144654 366727643034 550091464551 672334012229 1100182929102 1344668024458 2017002036687 4034004073374 6051006110061 12102012220122