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12114720 = 2532547179
BaseRepresentation
bin101110001101…
…101100100000
3211210111021100
4232031230200
511100132340
61111354400
7204654612
oct56155440
924714240
1012114720
116924a72
124082a00
132682297
141874db2
1510e4830
hexb8db20

12114720 has 144 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3144192.

The previous prime is 12114701. The next prime is 12114731. The reversal of 12114720 is 2741121.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12114693 and 12114702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67591 + ... + 67769.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 212114720 is an apocalyptic number.

12114720 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 12114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

12114720 is an abundant number, since it is smaller than the sum of its proper divisors (30342240).

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

12114720 is a wasteful number, since it uses less digits than its factorization.

12114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12114720 is about 3480.6206343122. The cubic root of 12114720 is about 229.6701004451.

Adding to 12114720 its reverse (2741121), we get a palindrome (14855841).

It can be divided in two parts, 121 and 14720, that added together give a palindrome (14841).

The spelling of 12114720 in words is "twelve million, one hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 179 180 188 235 240 282 288 358 360 376 423 470 480 537 564 705 716 720 752 846 895 940 1074 1128 1410 1432 1440 1504 1611 1692 1790 1880 2115 2148 2256 2685 2820 2864 3222 3384 3580 3760 4230 4296 4512 5370 5640 5728 6444 6768 7160 7520 8055 8413 8460 8592 10740 11280 12888 13536 14320 16110 16826 16920 17184 21480 22560 25239 25776 28640 32220 33652 33840 42065 42960 50478 51552 64440 67304 67680 75717 84130 85920 100956 126195 128880 134608 151434 168260 201912 252390 257760 269216 302868 336520 378585 403824 504780 605736 673040 757170 807648 1009560 1211472 1346080 1514340 2019120 2422944 3028680 4038240 6057360 12114720