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12135132 = 2232521647
BaseRepresentation
bin101110010010…
…101011011100
3211211112021100
4232102223130
511101311012
61112033100
7205101252
oct56225334
924745240
1012135132
116939339
124092790
13268b669
14187c5d2
1510ea8dc
hexb92adc

12135132 has 36 divisors (see below), whose sum is σ = 30781296. Its totient is φ = 4031040.

The previous prime is 12135121. The next prime is 12135143. The reversal of 12135132 is 23153121.

It is an interprime number because it is at equal distance from previous prime (12135121) and next prime (12135143).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×121351322 = 294522857314848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 18433 + ... + 19079.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 212135132 is an apocalyptic number.

12135132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12135132 is an abundant number, since it is smaller than the sum of its proper divisors (18646164).

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

12135132 is a wasteful number, since it uses less digits than its factorization.

12135132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1173 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12135132 is about 3483.5516359026. The cubic root of 12135132 is about 229.7990178726.

Adding to 12135132 its reverse (23153121), we get a palindrome (35288253).

It can be divided in two parts, 121 and 35132, that added together give a palindrome (35253).

The spelling of 12135132 in words is "twelve million, one hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 521 647 1042 1294 1563 1941 2084 2588 3126 3882 4689 5823 6252 7764 9378 11646 18756 23292 337087 674174 1011261 1348348 2022522 3033783 4045044 6067566 12135132