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12151125 = 325371543
BaseRepresentation
bin101110010110…
…100101010101
3211212100012200
4232112211111
511102314000
61112235113
7205166010
oct56264525
924770180
1012151125
11694a358
12409ba99
132695a1c
141884377
151100500
hexb96955

12151125 has 48 divisors (see below), whose sum is σ = 25049856. Its totient is φ = 5551200.

The previous prime is 12151103. The next prime is 12151147. The reversal of 12151125 is 52115121.

12151125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12151103) and next prime (12151147).

It is not a de Polignac number, because 12151125 - 214 = 12134741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12151098 and 12151107.

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, 7104 + ... + 8646.

It is an arithmetic number, because the mean of its divisors is an integer number (521872).

Almost surely, 212151125 is an apocalyptic number.

12151125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12151125 is an abundant number, since it is smaller than the sum of its proper divisors (12898731).

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

12151125 is a wasteful number, since it uses less digits than its factorization.

12151125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1558 counting only the distinct ones).

The product of its digits is 100, while the sum is 18.

The square root of 12151125 is about 3485.8463821574. The cubic root of 12151125 is about 229.8999249568.

Adding to 12151125 its reverse (52115121), we get a palindrome (64266246).

The spelling of 12151125 in words is "twelve million, one hundred fifty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1543 1575 2625 4629 7715 7875 10801 13887 23145 32403 38575 54005 69435 97209 115725 162015 192875 270025 347175 486045 578625 810075 1350125 1735875 2430225 4050375 12151125