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12021856 = 2572111741
BaseRepresentation
bin101101110111…
…000001100000
3211121202212221
4231313001200
511034144411
61105400424
7204120100
oct55670140
924552787
1012021856
116871220
124039114
13264bc32
14184d200
1510c7071
hexb77060

12021856 has 144 divisors (see below), whose sum is σ = 32577552. Its totient is φ = 4300800.

The previous prime is 12021817. The next prime is 12021857. The reversal of 12021856 is 65812021.

It is a self number, because there is not a number n which added to its sum of digits gives 12021856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021857) by changing a digit.

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, 293196 + ... + 293236.

It is an arithmetic number, because the mean of its divisors is an integer number (226233).

Almost surely, 212021856 is an apocalyptic number.

12021856 is a gapful number since it is divisible by the number (16) 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 12021856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288776).

12021856 is an abundant number, since it is smaller than the sum of its proper divisors (20555696).

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

12021856 is a wasteful number, since it uses less digits than its factorization.

12021856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 12021856 is about 3467.2548219016. The cubic root of 12021856 is about 229.0817579584.

Adding to 12021856 its reverse (65812021), we get a palindrome (77833877).

The spelling of 12021856 in words is "twelve million, twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 41 44 49 56 68 77 82 88 98 112 119 136 154 164 176 187 196 224 238 272 287 308 328 352 374 392 451 476 539 544 574 616 656 697 748 784 833 902 952 1078 1148 1232 1309 1312 1394 1496 1568 1666 1804 1904 2009 2156 2296 2464 2618 2788 2992 3157 3332 3608 3808 4018 4312 4592 4879 5236 5576 5984 6314 6664 7216 7667 8036 8624 9163 9184 9758 10472 11152 12628 13328 14432 15334 16072 17248 18326 19516 20944 22099 22304 25256 26656 30668 32144 34153 36652 39032 41888 44198 50512 53669 61336 64288 68306 73304 78064 88396 101024 107338 122672 136612 146608 156128 176792 214676 245344 273224 293216 353584 375683 429352 546448 707168 751366 858704 1092896 1502732 1717408 3005464 6010928 12021856