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12129312 = 253139719
BaseRepresentation
bin101110010001…
…010000100000
3211211020021210
4232101100200
511101114222
61111550120
7205045266
oct56212040
924736253
1012129312
116934a28
12408b340
132688b10
14187a436
1510e8d0c
hexb91420

12129312 has 48 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 3731712.

The previous prime is 12129287. The next prime is 12129343. The reversal of 12129312 is 21392121.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3612 + ... + 6107.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 212129312 is an apocalyptic number.

12129312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12129312 is an abundant number, since it is smaller than the sum of its proper divisors (22162848).

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

12129312 is a wasteful number, since it uses less digits than its factorization.

12129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745 (or 9737 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 12129312 is about 3482.7161813734. The cubic root of 12129312 is about 229.7622748538.

The spelling of 12129312 in words is "twelve million, one hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9719 19438 29157 38876 58314 77752 116628 126347 155504 233256 252694 311008 379041 466512 505388 758082 933024 1010776 1516164 2021552 3032328 4043104 6064656 12129312