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13123043041200 = 2435282331328297
BaseRepresentation
bin1011111011110111001001…
…0100011001111110110000
31201110112212102200122112120
42332331302110121332300
53210001443004304300
643524350455554240
72523052145242131
oct276756224317660
951415772618476
1013123043041200
1141aa4a67527a4
12157b40068b980
13742661446b81
14335231579c88
1517b5618843a0
hexbef72519fb0

13123043041200 has 120 divisors (see below), whose sum is σ = 42042618833808. Its totient is φ = 3499050455040.

The previous prime is 13123043041193. The next prime is 13123043041231. The reversal of 13123043041200 is 214034032131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×131230430412002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215452 + ... + 10543748.

Almost surely, 213123043041200 is an apocalyptic number.

13123043041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123043041200 is an abundant number, since it is smaller than the sum of its proper divisors (28919575792608).

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

13123043041200 is a wasteful number, since it uses less digits than its factorization.

13123043041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336551 (or 1336540 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13123043041200 its reverse (214034032131), we get a palindrome (13337077073331).

The spelling of 13123043041200 in words is "thirteen trillion, one hundred twenty-three billion, forty-three million, forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 8233 16466 24699 32932 41165 49398 65864 82330 98796 123495 131728 164660 197592 205825 246990 329320 395184 411650 493980 617475 658640 823300 987960 1234950 1328297 1646600 1975920 2469900 2656594 3293200 3984891 4939800 5313188 6641485 7969782 9879600 10626376 13282970 15939564 19924455 21252752 26565940 31879128 33207425 39848910 53131880 63758256 66414850 79697820 99622275 106263760 132829700 159395640 199244550 265659400 318791280 398489100 531318800 796978200 1593956400 10935869201 21871738402 32807607603 43743476804 54679346005 65615215206 87486953608 109358692010 131230430412 164038038015 174973907216 218717384020 262460860824 273396730025 328076076030 437434768040 524921721648 546793460050 656152152060 820190190075 874869536080 1093586920100 1312304304120 1640380380150 2187173840200 2624608608240 3280760760300 4374347680400 6561521520600 13123043041200