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12196125 = 325337293
BaseRepresentation
bin101110100001…
…100100011101
3211221121221100
4232201210131
511110234000
61113223313
7205444134
oct56414435
924847840
1012196125
116980147
124101b39
1326b0356
14189691b
15110da00
hexba191d

12196125 has 48 divisors (see below), whose sum is σ = 22656816. Its totient is φ = 6307200.

The previous prime is 12196109. The next prime is 12196159. The reversal of 12196125 is 52169121.

12196125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 127449 + 12068676 = 357^2 + 3474^2 .

It is not a de Polignac number, because 12196125 - 24 = 12196109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41479 + ... + 41771.

It is an arithmetic number, because the mean of its divisors is an integer number (472017).

Almost surely, 212196125 is an apocalyptic number.

12196125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12196125 is a deficient number, since it is larger than the sum of its proper divisors (10460691).

12196125 is a wasteful number, since it uses less digits than its factorization.

12196125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 12196125 is about 3492.2950906245. The cubic root of 12196125 is about 230.1833761269.

It can be divided in two parts, 12196 and 125, that added together give a palindrome (12321).

The spelling of 12196125 in words is "twelve million, one hundred ninety-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 125 185 225 293 333 375 555 879 925 1125 1465 1665 2637 2775 4395 4625 7325 8325 10841 13185 13875 21975 32523 36625 41625 54205 65925 97569 109875 162615 271025 329625 487845 813075 1355125 2439225 4065375 12196125