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12132225 = 325277703
BaseRepresentation
bin101110010001…
…111110000001
3211211101021200
4232101332001
511101212400
61112011413
7205056630
oct56217601
924741250
1012132225
116937136
124090b69
13268a241
14187b517
1510e9b00
hexb91f81

12132225 has 36 divisors (see below), whose sum is σ = 24837696. Its totient is φ = 5545440.

The previous prime is 12132223. The next prime is 12132259. The reversal of 12132225 is 52223121.

12132225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12132225 - 21 = 12132223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132198 and 12132207.

It is not an unprimeable number, because it can be changed into a prime (12132223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2277 + ... + 5426.

It is an arithmetic number, because the mean of its divisors is an integer number (689936).

Almost surely, 212132225 is an apocalyptic number.

12132225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12132225 is an abundant number, since it is smaller than the sum of its proper divisors (12705471).

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

12132225 is a wasteful number, since it uses less digits than its factorization.

12132225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7718 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12132225 is about 3483.1343643334. The cubic root of 12132225 is about 229.7806667717.

Adding to 12132225 its reverse (52223121), we get a palindrome (64355346).

The spelling of 12132225 in words is "twelve million, one hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 7703 23109 38515 53921 69327 115545 161763 192575 269605 346635 485289 577725 808815 1348025 1733175 2426445 4044075 12132225