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12027183120 = 2432517982613
BaseRepresentation
bin10110011001110000…
…00100000000010000
31011001012021012120200
423030320010000100
5144112424324440
65305240135200
7604021240551
oct131470040020
934035235520
1012027183120
115112038767
1223b7a67500
131198991604
14821496328
154a5d3ec30
hex2cce04010

12027183120 has 120 divisors (see below), whose sum is σ = 42767291736. Its totient is φ = 3018584064.

The previous prime is 12027183107. The next prime is 12027183149. The reversal of 12027183120 is 2138172021.

It can be written as a sum of positive squares in 4 ways, for example, as 4294443024 + 7732740096 = 65532^2 + 87936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 479067 + ... + 503546.

Almost surely, 212027183120 is an apocalyptic number.

12027183120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12027183120 is an abundant number, since it is smaller than the sum of its proper divisors (30740108616).

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

12027183120 is a wasteful number, since it uses less digits than its factorization.

12027183120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982649 (or 982640 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12027183120 in words is "twelve billion, twenty-seven million, one hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 982613 1965226 2947839 3930452 4913065 5895678 7860904 8843517 9826130 11791356 14739195 15721808 16704421 17687034 19652260 23582712 29478390 33408842 35374068 39304520 44217585 47165424 50113263 58956780 66817684 70748136 78609040 83522105 88435170 100226526 117913560 133635368 141496272 150339789 167044210 176870340 200453052 235827120 250566315 267270736 300679578 334088420 353740680 400906104 501132630 601359156 668176840 707481360 751698945 801812208 1002265260 1202718312 1336353680 1503397890 2004530520 2405436624 3006795780 4009061040 6013591560 12027183120