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12111330 = 2357311107
BaseRepresentation
bin101110001100…
…110111100010
3211210022121210
4232030313202
511100030310
61111330550
7204642000
oct56146742
924708553
1012111330
116922470
124080a56
13268088a
141873a70
1510e3820
hexb8cde2

12111330 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 2493120.

The previous prime is 12111313. The next prime is 12111331. The reversal of 12111330 is 3311121.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113137 + ... + 113243.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 212111330 is an apocalyptic number.

12111330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

12111330 is an abundant number, since it is smaller than the sum of its proper divisors (25213470).

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

12111330 is a wasteful number, since it uses less digits than its factorization.

12111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 12111330 is about 3480.1336181245. The cubic root of 12111330 is about 229.6486759776.

Adding to 12111330 its reverse (3311121), we get a palindrome (15422451).

The spelling of 12111330 in words is "twelve million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 107 110 147 154 165 210 214 231 245 294 321 330 343 385 462 490 535 539 642 686 735 749 770 1029 1070 1078 1155 1177 1470 1498 1605 1617 1715 2058 2247 2310 2354 2695 3210 3234 3430 3531 3745 3773 4494 5145 5243 5390 5885 7062 7490 7546 8085 8239 10290 10486 11235 11319 11770 15729 16170 16478 17655 18865 22470 22638 24717 26215 31458 35310 36701 37730 41195 49434 52430 56595 57673 73402 78645 82390 110103 113190 115346 123585 157290 173019 183505 220206 247170 288365 346038 367010 403711 550515 576730 807422 865095 1101030 1211133 1730190 2018555 2422266 4037110 6055665 12111330