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12300112321320 = 2335107971986563
BaseRepresentation
bin1011001011111101011111…
…0100110101101100101000
31121112212201222100122102110
42302333113310311230220
53103011112223240240
642054332114402320
72406440151445305
oct262772764655450
947485658318373
1012300112321320
113a124a281883a
121467a168903a0
136b2b848872c5
143074859dc0ac
15164e4a3b9c80
hexb2fd7d35b28

12300112321320 has 128 divisors (see below), whose sum is σ = 37283595287040. Its totient is φ = 3246025754880.

The previous prime is 12300112321261. The next prime is 12300112321349. The reversal of 12300112321320 is 2312321100321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11974359 + ... + 12960921.

It is an arithmetic number, because the mean of its divisors is an integer number (291278088180).

Almost surely, 212300112321320 is an apocalyptic number.

12300112321320 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 12300112321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641797643520).

12300112321320 is an abundant number, since it is smaller than the sum of its proper divisors (24983482965720).

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

12300112321320 is a wasteful number, since it uses less digits than its factorization.

12300112321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987655 (or 987651 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12300112321320 its reverse (2312321100321), we get a palindrome (14612433421641).

The spelling of 12300112321320 in words is "twelve trillion, three hundred billion, one hundred twelve million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 971 1070 1284 1605 1942 2140 2568 2913 3210 3884 4280 4855 5826 6420 7768 9710 11652 12840 14565 19420 23304 29130 38840 58260 103897 116520 207794 311691 415588 519485 623382 831176 986563 1038970 1246764 1558455 1973126 2077940 2493528 2959689 3116910 3946252 4155880 4932815 5919378 6233820 7892504 9865630 11838756 12467640 14798445 19731260 23677512 29596890 39462520 59193780 105562241 118387560 211124482 316686723 422248964 527811205 633373446 844497928 957952673 1055622410 1266746892 1583433615 1915905346 2111244820 2533493784 2873858019 3166867230 3831810692 4222489640 4789763365 5747716038 6333734460 7663621384 9579526730 11495432076 12667468920 14369290095 19159053460 22990864152 28738580190 38318106920 57477160380 102500936011 114954320760 205001872022 307502808033 410003744044 512504680055 615005616066 820007488088 1025009360110 1230011232132 1537514040165 2050018720220 2460022464264 3075028080330 4100037440440 6150056160660 12300112321320