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12102112011222 = 2343371331316651
BaseRepresentation
bin1011000000011011111000…
…0101100110001111010110
31120211221122222211201210000
42300012332011212033112
53041240111133324342
641423344500512130
72356230421542102
oct260067605461726
946757588751700
1012102112011222
113946527802222
1214355789ab646
1369a2bb9342bc
142dba61334902
1515ec0c79644c
hexb01be1663d6

12102112011222 has 80 divisors (see below), whose sum is σ = 27201839897232. Its totient is φ = 4021523251200.

The previous prime is 12102112011181. The next prime is 12102112011239. The reversal of 12102112011222 is 22211021120121.

12102112011222 is a `hidden beast` number, since 1 + 210 + 211 + 20 + 1 + 1 + 222 = 666.

12102112011222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121021120112222 (a number of 27 digits) contains 22 as substring.

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 = 12102112011195 and 12102112011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 726801597 + ... + 726818247.

Almost surely, 212102112011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102112011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600919948616).

12102112011222 is an abundant number, since it is smaller than the sum of its proper divisors (15099727886010).

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

12102112011222 is a wasteful number, since it uses less digits than its factorization.

12102112011222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30315 (or 30306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12102112011222 its reverse (22211021120121), we get a palindrome (34313133131343).

The spelling of 12102112011222 in words is "twelve trillion, one hundred two billion, one hundred twelve million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 337 674 1011 2022 3033 6066 9099 13313 16651 18198 26626 27297 33302 39939 49953 54594 79878 99906 119817 149859 239634 299718 359451 449577 718902 899154 1078353 1348731 2156706 2697462 4486481 5611387 8972962 11222774 13459443 16834161 26918886 33668322 40378329 50502483 80756658 101004966 121134987 151507449 221674763 242269974 303014898 363404961 443349526 454522347 665024289 726809922 909044694 1330048578 1995072867 3990145734 5985218601 11970437202 17955655803 35911311606 74704395131 149408790262 224113185393 448226370786 672339556179 1344679112358 2017018668537 4034037337074 6051056005611 12102112011222