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12127320 = 2334519197
BaseRepresentation
bin101110010000…
…110001011000
3211211010120000
4232100301120
511101033240
61111533000
7205036422
oct56206130
924733500
1012127320
116933487
12408a160
132687c3a
141879812
1510e8430
hexb90c58

12127320 has 160 divisors (see below), whose sum is σ = 43124400. Its totient is φ = 3048192.

The previous prime is 12127319. The next prime is 12127321. The reversal of 12127320 is 2372121.

It is an interprime number because it is at equal distance from previous prime (12127319) and next prime (12127321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12127293 and 12127302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61462 + ... + 61658.

Almost surely, 212127320 is an apocalyptic number.

12127320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21562200).

12127320 is an abundant number, since it is smaller than the sum of its proper divisors (30997080).

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

12127320 is a wasteful number, since it uses less digits than its factorization.

12127320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12127320 is about 3482.4301859477. The cubic root of 12127320 is about 229.7496961928.

Adding to 12127320 its reverse (2372121), we get a palindrome (14499441).

The spelling of 12127320 in words is "twelve million, one hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 197 216 228 270 285 324 342 360 380 394 405 456 513 540 570 591 648 684 760 788 810 855 985 1026 1080 1140 1182 1368 1539 1576 1620 1710 1773 1970 2052 2280 2364 2565 2955 3078 3240 3420 3546 3743 3940 4104 4728 5130 5319 5910 6156 6840 7092 7486 7695 7880 8865 10260 10638 11229 11820 12312 14184 14972 15390 15957 17730 18715 20520 21276 22458 23640 26595 29944 30780 31914 33687 35460 37430 42552 44916 53190 56145 61560 63828 67374 70920 74860 79785 89832 101061 106380 112290 127656 134748 149720 159570 168435 202122 212760 224580 269496 303183 319140 336870 404244 449160 505305 606366 638280 673740 808488 1010610 1212732 1347480 1515915 2021220 2425464 3031830 4042440 6063660 12127320