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12123034110 = 232511115110639
BaseRepresentation
bin10110100101001011…
…01101000111111110
31011021212121221102100
423102211231013332
5144311444042420
65322542405530
7606264042525
oct132245550776
934255557370
1012123034110
115161155a60
122423b908a6
1311b27b1785
148300c74bc
154ae475190
hex2d296d1fe

12123034110 has 96 divisors (see below), whose sum is σ = 34418442240. Its totient is φ = 2936088000.

The previous prime is 12123034093. The next prime is 12123034171. The reversal of 12123034110 is 1143032121.

12123034110 is a `hidden beast` number, since 1 + 21 + 230 + 3 + 411 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134171 + ... + 1144809.

It is an arithmetic number, because the mean of its divisors is an integer number (358525440).

Almost surely, 212123034110 is an apocalyptic number.

12123034110 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 12123034110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209221120).

12123034110 is an abundant number, since it is smaller than the sum of its proper divisors (22295408130).

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

12123034110 is a wasteful number, since it uses less digits than its factorization.

12123034110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11814 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12123034110 its reverse (1143032121), we get a palindrome (13266066231).

The spelling of 12123034110 in words is "twelve billion, one hundred twenty-three million, thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1151 2302 3453 5755 6906 10359 10639 11510 12661 17265 20718 21278 25322 31917 34530 37983 51795 53195 63305 63834 75966 95751 103590 106390 113949 117029 126610 159585 189915 191502 227898 234058 319170 351087 379830 478755 569745 585145 702174 957510 1053261 1139490 1170290 1755435 2106522 3510870 5266305 10532610 12245489 24490978 36736467 61227445 73472934 110209401 122454890 134700379 183682335 220418802 269400758 367364670 404101137 551047005 673501895 808202274 1102094010 1212303411 1347003790 2020505685 2424606822 4041011370 6061517055 12123034110