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12130965 = 345711389
BaseRepresentation
bin101110010001…
…101010010101
3211211022120000
4232101222111
511101142330
61112001513
7205053150
oct56215225
924738500
1012130965
1169361a0
124090299
1326897b2
14187ac97
1510e9560
hexb91a95

12130965 has 80 divisors (see below), whose sum is σ = 27181440. Its totient is φ = 5028480.

The previous prime is 12130907. The next prime is 12130973. The reversal of 12130965 is 56903121.

12130965 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12130965 - 26 = 12130901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30991 + ... + 31379.

It is an arithmetic number, because the mean of its divisors is an integer number (339768).

Almost surely, 212130965 is an apocalyptic number.

12130965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12130965 is an abundant number, since it is smaller than the sum of its proper divisors (15050475).

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

12130965 is a wasteful number, since it uses less digits than its factorization.

12130965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12130965 is about 3482.9534880615. The cubic root of 12130965 is about 229.7727118236.

The spelling of 12130965 in words is "twelve million, one hundred thirty thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 389 405 495 567 693 891 945 1155 1167 1485 1945 2079 2723 2835 3465 3501 4279 4455 5835 6237 8169 10395 10503 12837 13615 17505 21395 24507 29953 31185 31509 38511 40845 52515 64185 73521 89859 115533 122535 149765 157545 192555 220563 269577 346599 367605 449295 577665 808731 1102815 1347885 1732995 2426193 4043655 12130965