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12132315 = 3351331223
BaseRepresentation
bin101110010001…
…111111011011
3211211101102000
4232101333123
511101213230
61112012043
7205060116
oct56217733
924741360
1012132315
116937208
124091023
13268a2b0
14187b57d
1510e9b60
hexb91fdb

12132315 has 64 divisors (see below), whose sum is σ = 24084480. Its totient is φ = 5754240.

The previous prime is 12132311. The next prime is 12132319. The reversal of 12132315 is 51323121.

It is an interprime number because it is at equal distance from previous prime (12132311) and next prime (12132319).

It is not a de Polignac number, because 12132315 - 22 = 12132311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12132311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54294 + ... + 54516.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 212132315 is an apocalyptic number.

12132315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12132315 is a deficient number, since it is larger than the sum of its proper divisors (11952165).

12132315 is a wasteful number, since it uses less digits than its factorization.

12132315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

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

The square root of 12132315 is about 3483.1472837077. The cubic root of 12132315 is about 229.7812349613.

Adding to 12132315 its reverse (51323121), we get a palindrome (63455436).

The spelling of 12132315 in words is "twelve million, one hundred thirty-two thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 93 117 135 155 195 223 279 351 403 465 585 669 837 1115 1209 1395 1755 2007 2015 2899 3345 3627 4185 6021 6045 6913 8697 10035 10881 14495 18135 20739 26091 30105 34565 43485 54405 62217 78273 89869 103695 130455 186651 269607 311085 391365 449345 808821 933255 1348035 2426463 4044105 12132315