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12264021 = 3371117347
BaseRepresentation
bin101110110010…
…001001010101
3212002002002000
4232302021111
511114422041
61114505513
7206146110
oct56621125
925062060
1012264021
116a17160
124135299
132705223
1418b3577
151123bb6
hexbb2255

12264021 has 64 divisors (see below), whose sum is σ = 24053760. Its totient is φ = 5978880.

The previous prime is 12264011. The next prime is 12264023. The reversal of 12264021 is 12046221.

12264021 is a `hidden beast` number, since 1 + 2 + 2 + 640 + 21 = 666.

12264021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12264021 - 27 = 12263893 is a prime.

It is a super-2 number, since 2×122640212 = 300812422176882, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12263985 and 12264003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35170 + ... + 35516.

It is an arithmetic number, because the mean of its divisors is an integer number (375840).

Almost surely, 212264021 is an apocalyptic number.

12264021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12264021 is a deficient number, since it is larger than the sum of its proper divisors (11789739).

12264021 is a wasteful number, since it uses less digits than its factorization.

12264021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12264021 is about 3502.0024271836. The cubic root of 12264021 is about 230.6097306303.

The spelling of 12264021 in words is "twelve million, two hundred sixty-four thousand, twenty-one".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 119 153 187 189 231 297 347 357 459 561 693 1041 1071 1309 1683 2079 2429 3123 3213 3817 3927 5049 5899 7287 9369 11451 11781 17697 21861 26719 34353 35343 41293 53091 64889 65583 80157 103059 123879 159273 194667 240471 371637 454223 584001 721413 1114911 1362669 1752003 4088007 12264021