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12102211001112 = 23329717328111939
BaseRepresentation
bin1011000000011100001111…
…1111001101101100011000
31120211221220220002221101020
42300013003333031230120
53041240312004013422
641423402354322440
72356233033126261
oct260070377155430
946757826087336
1012102211001112
113946578673851
1214355a5b89420
1369a3062b30bb
142dba70541968
1515ec162eb95c
hexb01c3fcdb18

12102211001112 has 256 divisors, whose sum is σ = 32291644032000. Its totient is φ = 3773706854400.

The previous prime is 12102211001033. The next prime is 12102211001123. The reversal of 12102211001112 is 21110011220121.

It is a happy number.

12102211001112 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 2×121022110011122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102211001091 and 12102211001100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1013664439 + ... + 1013676377.

It is an arithmetic number, because the mean of its divisors is an integer number (126139234500).

Almost surely, 212102211001112 is an apocalyptic number.

12102211001112 is a gapful number since it is divisible by the number (12) 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 12102211001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16145822016000).

12102211001112 is an abundant number, since it is smaller than the sum of its proper divisors (20189433030888).

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

12102211001112 is a wasteful number, since it uses less digits than its factorization.

12102211001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12402 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12102211001112 its reverse (21110011220121), we get a palindrome (33212222221233).

The spelling of 12102211001112 in words is "twelve trillion, one hundred two billion, two hundred eleven million, one thousand, one hundred twelve".