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12256101 = 32111389107
BaseRepresentation
bin101110110000…
…001101100101
3212001200012200
4232300031211
511114143401
61114405113
7206114034
oct56601545
925050180
1012256101
116a11210
124130799
132701740
1418b071b
151121686
hexbb0365

12256101 has 48 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 6716160.

The previous prime is 12256087. The next prime is 12256103. The reversal of 12256101 is 10165221.

12256101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12256101 - 213 = 12247909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12256103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114490 + ... + 114596.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 212256101 is an apocalyptic number.

12256101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12256101 is a deficient number, since it is larger than the sum of its proper divisors (8972379).

12256101 is a wasteful number, since it uses less digits than its factorization.

12256101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12256101 is about 3500.8714629361. The cubic root of 12256101 is about 230.5600780090.

The spelling of 12256101 in words is "twelve million, two hundred fifty-six thousand, one hundred one".

Divisors: 1 3 9 11 13 33 39 89 99 107 117 143 267 321 429 801 963 979 1157 1177 1287 1391 2937 3471 3531 4173 8811 9523 10413 10593 12519 12727 15301 28569 38181 45903 85707 104753 114543 123799 137709 314259 371397 942777 1114191 1361789 4085367 12256101