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12232120230 = 2345114872819
BaseRepresentation
bin10110110010001011…
…10101011110100110
31011120110220002110000
423121011311132212
5200022410321410
65341440442130
7612060210051
oct133105653646
934513802400
1012232120230
115207792a80
122454619346
1311cc286b85
148407a1a98
154b8d21dc0
hex2d91757a6

12232120230 has 160 divisors (see below), whose sum is σ = 35967317760. Its totient is φ = 2958223680.

The previous prime is 12232120223. The next prime is 12232120231. The reversal of 12232120230 is 3202123221.

12232120230 is a `hidden beast` number, since 1 + 223 + 212 + 0 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4337761 + ... + 4340579.

It is an arithmetic number, because the mean of its divisors is an integer number (224795736).

Almost surely, 212232120230 is an apocalyptic number.

12232120230 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 12232120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983658880).

12232120230 is an abundant number, since it is smaller than the sum of its proper divisors (23735197530).

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

12232120230 is a wasteful number, since it uses less digits than its factorization.

12232120230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12232120230 its reverse (3202123221), we get a palindrome (15434243451).

The spelling of 12232120230 in words is "twelve billion, two hundred thirty-two million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 487 495 594 810 891 974 990 1461 1485 1782 2435 2819 2922 2970 4383 4455 4870 5357 5638 7305 8457 8766 8910 10714 13149 14095 14610 16071 16914 21915 25371 26298 26785 28190 31009 32142 39447 42285 43830 48213 50742 53570 62018 65745 76113 78894 80355 84570 93027 96426 126855 131490 144639 152226 155045 160710 186054 197235 228339 241065 253710 279081 289278 310090 380565 394470 433917 456678 465135 482130 558162 723195 761130 837243 867834 930270 1141695 1372853 1395405 1446390 1674486 2169585 2283390 2511729 2745706 2790810 4118559 4186215 4339170 5023458 6864265 8237118 8372430 12355677 12558645 13728530 15101383 20592795 24711354 25117290 30202766 37067031 41185590 45304149 61778385 74134062 75506915 90608298 111201093 123556770 135912447 151013830 185335155 222402186 226520745 271824894 370670310 407737341 453041490 556005465 679562235 815474682 1112010930 1223212023 1359124470 2038686705 2446424046 4077373410 6116060115 12232120230