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12522120 = 23351323349
BaseRepresentation
bin101111110001…
…001010001000
3212120012010020
4233301022020
511201201440
61124220440
7211302432
oct57611210
925505106
1012522120
117083066
12423a720
132795850
14193d652
1511753d0
hexbf1288

12522120 has 128 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 2939904.

The previous prime is 12522091. The next prime is 12522131. The reversal of 12522120 is 2122521.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12522120.

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 31 ways as a sum of consecutive naturals, for example, 35706 + ... + 36054.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 212522120 is an apocalyptic number.

12522120 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 12522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

12522120 is an abundant number, since it is smaller than the sum of its proper divisors (29813880).

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

12522120 is a wasteful number, since it uses less digits than its factorization.

12522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12522120 is about 3538.6607636223. The cubic root of 12522120 is about 232.2162569363.

Adding to 12522120 its reverse (2122521), we get a palindrome (14644641).

The spelling of 12522120 in words is "twelve million, five hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 349 390 460 520 552 598 690 698 780 897 920 1047 1196 1380 1396 1495 1560 1745 1794 2094 2392 2760 2792 2990 3490 3588 4188 4485 4537 5235 5980 6980 7176 8027 8376 8970 9074 10470 11960 13611 13960 16054 17940 18148 20940 22685 24081 27222 32108 35880 36296 40135 41880 45370 48162 54444 64216 68055 80270 90740 96324 104351 108888 120405 136110 160540 181480 192648 208702 240810 272220 313053 321080 417404 481620 521755 544440 626106 834808 963240 1043510 1252212 1565265 2087020 2504424 3130530 4174040 6261060 12522120