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12506220 = 22325176167
BaseRepresentation
bin101111101101…
…010001101100
3212112101022100
4233231101230
511200144340
61124015100
7211205166
oct57552154
925471270
1012506220
117072121
124231490
13278b53c
141937936
151170830
hexbed46c

12506220 has 144 divisors (see below), whose sum is σ = 41434848. Its totient is φ = 3041280.

The previous prime is 12506167. The next prime is 12506233. The reversal of 12506220 is 2260521.

12506220 = T120 + T121 + ... + T424.

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 = 12506193 and 12506202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186627 + ... + 186693.

It is an arithmetic number, because the mean of its divisors is an integer number (287742).

Almost surely, 212506220 is an apocalyptic number.

12506220 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 12506220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424).

12506220 is an abundant number, since it is smaller than the sum of its proper divisors (28928628).

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

12506220 is a wasteful number, since it uses less digits than its factorization.

12506220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12506220 is about 3536.4134373684. The cubic root of 12506220 is about 232.1179295409.

Adding to 12506220 its reverse (2260521), we get a palindrome (14766741).

The spelling of 12506220 in words is "twelve million, five hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 61 67 68 85 90 102 122 134 153 170 180 183 201 204 244 255 268 305 306 335 340 366 402 510 549 603 610 612 670 732 765 804 915 1005 1020 1037 1098 1139 1206 1220 1340 1530 1830 2010 2074 2196 2278 2412 2745 3015 3060 3111 3417 3660 4020 4087 4148 4556 5185 5490 5695 6030 6222 6834 8174 9333 10251 10370 10980 11390 12060 12261 12444 13668 15555 16348 17085 18666 20435 20502 20740 22780 24522 31110 34170 36783 37332 40870 41004 46665 49044 51255 61305 62220 68340 69479 73566 81740 93330 102510 122610 138958 147132 183915 186660 205020 208437 245220 277916 347395 367830 416874 625311 694790 735660 833748 1042185 1250622 1389580 2084370 2501244 3126555 4168740 6253110 12506220