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12044402522130 = 23511374691210283
BaseRepresentation
bin1010111101000100111001…
…0101010111100000010010
31120122102201010020221022010
42233101032111113200102
53034313414021202010
641341042214123350
72352115344144546
oct257211625274022
946572633227263
1012044402522130
113924003254990
121426352050556
13694a228a9114
142d8d48b5da26
1515d48118d620
hexaf44e557812

12044402522130 has 128 divisors (see below), whose sum is σ = 32393775799296. Its totient is φ = 2840321030400.

The previous prime is 12044402522081. The next prime is 12044402522137. The reversal of 12044402522130 is 3122520444021.

It is a happy number.

It is a super-3 number, since 3×120444025221303 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12044402522137) 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, 57171969 + ... + 57382251.

It is an arithmetic number, because the mean of its divisors is an integer number (253076373432).

Almost surely, 212044402522130 is an apocalyptic number.

12044402522130 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 12044402522130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196887899648).

12044402522130 is an abundant number, since it is smaller than the sum of its proper divisors (20349373277166).

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

12044402522130 is a wasteful number, since it uses less digits than its factorization.

12044402522130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215032.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12044402522130 its reverse (3122520444021), we get a palindrome (15166922966151).

The spelling of 12044402522130 in words is "twelve trillion, forty-four billion, four hundred two million, five hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 4691 6105 9382 12210 14073 23455 28146 46910 51601 70365 103202 140730 154803 173567 210283 258005 309606 347134 420566 516010 520701 630849 774015 867835 1041402 1051415 1261698 1548030 1735670 1909237 2102830 2313113 2603505 3154245 3818474 4626226 5207010 5727711 6308490 6939339 7780471 9546185 11455422 11565565 13878678 15560942 19092370 23131130 23341413 28638555 34696695 38902355 46682826 57277110 69393390 77804710 85585181 116707065 171170362 233414130 256755543 427925905 513511086 855851810 986437553 1283777715 1972875106 2567555430 2959312659 4932187765 5918625318 9864375530 10850813083 14796563295 21701626166 29593126590 32552439249 36498189461 54254065415 65104878498 72996378922 108508130830 109494568383 162762196245 182490947305 218989136766 325524392490 364981894610 401480084071 547472841915 802960168142 1094945683830 1204440252213 2007400420355 2408880504426 4014800840710 6022201261065 12044402522130