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41012123421120 = 2635202639210823
BaseRepresentation
bin10010101001100111000010…
…00011000100100111000000
312101012201110101201001002120
421110303201003010213000
520333420312043433440
6223120413121444240
711432012436136605
oct1124634103044700
9171181411631076
1041012123421120
111208216453a765
1247245111a0680
1319b657144bc67
14a1add6aaa6ac
154b1c45982dd0
hex254ce10c49c0

41012123421120 has 112 divisors (see below), whose sum is σ = 130214752097280. Its totient is φ = 10936460399616.

The previous prime is 41012123421043. The next prime is 41012123421169. The reversal of 41012123421120 is 2112432121014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194428029 + ... + 194638851.

Almost surely, 241012123421120 is an apocalyptic number.

41012123421120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41012123421120 is an abundant number, since it is smaller than the sum of its proper divisors (89202628676160).

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

41012123421120 is a wasteful number, since it uses less digits than its factorization.

41012123421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413482 (or 413472 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 41012123421120 its reverse (2112432121014), we get a palindrome (43124555542134).

The spelling of 41012123421120 in words is "forty-one trillion, twelve billion, one hundred twenty-three million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 202639 210823 405278 421646 607917 632469 810556 843292 1013195 1054115 1215834 1264938 1621112 1686584 2026390 2108230 2431668 2529876 3039585 3162345 3242224 3373168 4052780 4216460 4863336 5059752 6079170 6324690 6484448 6746336 8105560 8432920 9726672 10119504 12158340 12649380 12968896 13492672 16211120 16865840 19453344 20239008 24316680 25298760 32422240 33731680 38906688 40478016 48633360 50597520 64844480 67463360 97266720 101195040 194533440 202390080 42720961897 85441923794 128162885691 170883847588 213604809485 256325771382 341767695176 427209618970 512651542764 640814428455 683535390352 854419237940 1025303085528 1281628856910 1367070780704 1708838475880 2050606171056 2563257713820 2734141561408 3417676951760 4101212342112 5126515427640 6835353903520 8202424684224 10253030855280 13670707807040 20506061710560 41012123421120