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12261000 = 233536167
BaseRepresentation
bin101110110001…
…011010001000
3212001220221010
4232301122020
511114323000
61114443520
7206134233
oct56613210
925056833
1012261000
116a14964
1241335a0
132703a3b
1418b241a
151122d50
hexbb1688

12261000 has 128 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 3168000.

The previous prime is 12260993. The next prime is 12261013. The reversal of 12261000 is 16221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 182967 + ... + 183033.

It is an arithmetic number, because the mean of its divisors is an integer number (308295).

Almost surely, 212261000 is an apocalyptic number.

12261000 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 12261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

12261000 is an abundant number, since it is smaller than the sum of its proper divisors (27200760).

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

12261000 is a wasteful number, since it uses less digits than its factorization.

12261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12261000 is about 3501.5710759600. The cubic root of 12261000 is about 230.5907936871.

Adding to 12261000 its reverse (16221), we get a palindrome (12277221).

It can be divided in two parts, 1 and 2261000, that added together give a triangular number (2261001 = T2126).

The spelling of 12261000 in words is "twelve million, two hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 67 75 100 120 122 125 134 150 183 200 201 244 250 268 300 305 335 366 375 402 488 500 536 600 610 670 732 750 804 915 1000 1005 1220 1340 1464 1500 1525 1608 1675 1830 2010 2440 2680 3000 3050 3350 3660 4020 4087 4575 5025 6100 6700 7320 7625 8040 8174 8375 9150 10050 12200 12261 13400 15250 16348 16750 18300 20100 20435 22875 24522 25125 30500 32696 33500 36600 40200 40870 45750 49044 50250 61000 61305 67000 81740 91500 98088 100500 102175 122610 163480 183000 201000 204350 245220 306525 408700 490440 510875 613050 817400 1021750 1226100 1532625 2043500 2452200 3065250 4087000 6130500 12261000