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12117000966 = 237244939173
BaseRepresentation
bin10110100100011101…
…01100001100000110
31011021110021102111120
423102032230030012
5144303423012331
65322205214410
7606161544300
oct132216541406
934243242446
1012117000966
115158805194
122421b61406
1311b147b675
1482d396970
154adb82796
hex2d23ac306

12117000966 has 48 divisors (see below), whose sum is σ = 28199921904. Its totient is φ = 3460852416.

The previous prime is 12117000953. The next prime is 12117000979. The reversal of 12117000966 is 66900071121.

It is an interprime number because it is at equal distance from previous prime (12117000953) and next prime (12117000979).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316356 + ... + 1325528.

It is an arithmetic number, because the mean of its divisors is an integer number (587498373).

Almost surely, 212117000966 is an apocalyptic number.

12117000966 is an abundant number, since it is smaller than the sum of its proper divisors (16082920938).

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

12117000966 is a wasteful number, since it uses less digits than its factorization.

12117000966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13685 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 12117000966 in words is "twelve billion, one hundred seventeen million, nine hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 4493 8986 9173 13479 18346 26958 27519 31451 55038 62902 64211 94353 128422 188706 192633 220157 385266 440314 449477 660471 898954 1320942 1348431 2696862 41214289 82428578 123642867 247285734 288500023 577000046 865500069 1731000138 2019500161 4039000322 6058500483 12117000966