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12129645 = 3511241163
BaseRepresentation
bin101110010001…
…010101101101
3211211020202010
4232101111231
511101122040
61111551433
7205046253
oct56212555
924736663
1012129645
116935200
12408b579
132689008
14187a5d3
1510e8e80
hexb9156d

12129645 has 48 divisors (see below), whose sum is σ = 21986496. Its totient is φ = 5702400.

The previous prime is 12129617. The next prime is 12129659. The reversal of 12129645 is 54692121.

12129645 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12129645 - 210 = 12128621 is a prime.

It is a super-3 number, since 3×121296453 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74334 + ... + 74496.

It is an arithmetic number, because the mean of its divisors is an integer number (458052).

Almost surely, 212129645 is an apocalyptic number.

12129645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12129645 is a deficient number, since it is larger than the sum of its proper divisors (9856851).

12129645 is a wasteful number, since it uses less digits than its factorization.

12129645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 12129645 is about 3482.7639885585. The cubic root of 12129645 is about 229.7643774775.

The spelling of 12129645 in words is "twelve million, one hundred twenty-nine thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 41 55 121 123 163 165 205 363 451 489 605 615 815 1353 1793 1815 2255 2445 4961 5379 6683 6765 8965 14883 19723 20049 24805 26895 33415 59169 73513 74415 98615 100245 220539 295845 367565 808643 1102695 2425929 4043215 12129645