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12034444225540 = 22511231182319429
BaseRepresentation
bin1010111100011111110011…
…0001011110110000000100
31120121111000002222001111111
42233013330301132300010
53034133020210204130
641332314121214404
72351313514054102
oct257077461366004
946544002861444
1012034444225540
11391a863034300
121424433031404
13693ac6730929
142d8682374c72
1515d09bcbc02a
hexaf1fcc5ec04

12034444225540 has 144 divisors (see below), whose sum is σ = 27903298026240. Its totient is φ = 4356565804800.

The previous prime is 12034444225537. The next prime is 12034444225541. The reversal of 12034444225540 is 4552244443021.

It is a junction number, because it is equal to n+sod(n) for n = 12034444225493 and 12034444225502.

It is not an unprimeable number, because it can be changed into a prime (12034444225541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619396546 + ... + 619415974.

It is an arithmetic number, because the mean of its divisors is an integer number (193772902960).

Almost surely, 212034444225540 is an apocalyptic number.

12034444225540 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 12034444225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951649013120).

12034444225540 is an abundant number, since it is smaller than the sum of its proper divisors (15868853800700).

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

12034444225540 is a wasteful number, since it uses less digits than its factorization.

12034444225540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20594 (or 20581 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 12034444225540 its reverse (4552244443021), we get a palindrome (16586688668561).

The spelling of 12034444225540 in words is "twelve trillion, thirty-four billion, four hundred forty-four million, two hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 311 484 605 622 823 1210 1244 1555 1646 2420 3110 3292 3421 4115 6220 6842 8230 9053 13684 16460 17105 18106 19429 34210 36212 37631 38858 45265 68420 75262 77716 90530 97145 99583 150524 181060 188155 194290 199166 213719 255953 376310 388580 398332 427438 497915 511906 752620 854876 995830 1023812 1068595 1279765 1991660 2137190 2350909 2559530 2815483 4274380 4701818 5119060 5630966 6042419 9403636 11261932 11754545 12084838 14077415 15990067 23509090 24169676 28154830 30212095 30970313 31980134 47018180 56309660 60424190 61940626 63960268 66466609 79950335 120848380 123881252 132933218 154851565 159900670 175890737 265866436 309703130 319801340 332333045 351781474 619406260 664666090 703562948 731132699 879453685 1329332180 1462265398 1758907370 1934798107 2924530796 3517814740 3655663495 3869596214 4972910837 7311326990 7739192428 9673990535 9945821674 14622653980 19347981070 19891643348 24864554185 38695962140 49729108370 54702019207 99458216740 109404038414 218808076828 273510096035 547020192070 601722211277 1094040384140 1203444422554 2406888845108 3008611056385 6017222112770 12034444225540