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12123132 = 2237144323
BaseRepresentation
bin101110001111…
…101111111100
3211210220210220
4232033233330
511100420012
61111501340
7205021260
oct56175774
924726726
1012123132
11693031a
124087850
132686068
1418780a0
1510e708c
hexb8fbfc

12123132 has 24 divisors (see below), whose sum is σ = 32328576. Its totient is φ = 3463728.

The previous prime is 12123107. The next prime is 12123151. The reversal of 12123132 is 23132121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72078 + ... + 72245.

It is an arithmetic number, because the mean of its divisors is an integer number (1347024).

Almost surely, 212123132 is an apocalyptic number.

12123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123132 is an abundant number, since it is smaller than the sum of its proper divisors (20205444).

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

12123132 is a wasteful number, since it uses less digits than its factorization.

12123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144337 (or 144335 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 12123132 is about 3481.8288297962. The cubic root of 12123132 is about 229.7232462020.

Adding to 12123132 its reverse (23132121), we get a palindrome (35255253).

It can be divided in two parts, 121 and 23132, that multiplied together give a palindrome (2798972).

The spelling of 12123132 in words is "twelve million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 144323 288646 432969 577292 865938 1010261 1731876 2020522 3030783 4041044 6061566 12123132