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12106125 = 335317211
BaseRepresentation
bin101110001011…
…100110001101
3211210001111000
4232023212031
511044344000
61111250513
7204620553
oct56134615
924701430
1012106125
116919569
124079a39
13267b3b5
141871bd3
1510e2000
hexb8b98d

12106125 has 64 divisors (see below), whose sum is σ = 23811840. Its totient is φ = 6048000.

The previous prime is 12106117. The next prime is 12106147. The reversal of 12106125 is 52160121.

It is not a de Polignac number, because 12106125 - 23 = 12106117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12106098 and 12106107.

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 63 ways as a sum of consecutive naturals, for example, 57270 + ... + 57480.

It is an arithmetic number, because the mean of its divisors is an integer number (372060).

Almost surely, 212106125 is an apocalyptic number.

12106125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12106125 is a deficient number, since it is larger than the sum of its proper divisors (11705715).

12106125 is a wasteful number, since it uses less digits than its factorization.

12106125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

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

The square root of 12106125 is about 3479.3857216469. The cubic root of 12106125 is about 229.6157731053.

Adding to 12106125 its reverse (52160121), we get a palindrome (64266246).

The spelling of 12106125 in words is "twelve million, one hundred six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 125 135 153 211 225 255 375 425 459 633 675 765 1055 1125 1275 1899 2125 2295 3165 3375 3587 3825 5275 5697 6375 9495 10761 11475 15825 17935 19125 26375 28485 32283 47475 53805 57375 79125 89675 96849 142425 161415 237375 269025 448375 484245 712125 807075 1345125 2421225 4035375 12106125