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12223708685376 = 2631912726384231
BaseRepresentation
bin1011000111100000110111…
…0100000110010001000000
31121021120112021102210110020
42301320031310012101000
53100233123410413001
641555254431333440
72401063616323146
oct261701564062100
947246467383406
1012223708685376
113993055977261
121455053381280
136a88c985b676
143038b8747596
15162e779e0736
hexb1e0dd06440

12223708685376 has 112 divisors (see below), whose sum is σ = 34312166031360. Its totient is φ = 3829723752960.

The previous prime is 12223708685371. The next prime is 12223708685393. The reversal of 12223708685376 is 67358680732221.

It is a super-3 number, since 3×122237086853763 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12223708685371) by changing a digit.

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, 12728820 + ... + 13655411.

It is an arithmetic number, because the mean of its divisors is an integer number (306358625280).

Almost surely, 212223708685376 is an apocalyptic number.

12223708685376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12223708685376 is an abundant number, since it is smaller than the sum of its proper divisors (22088457345984).

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

12223708685376 is a wasteful number, since it uses less digits than its factorization.

12223708685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26384392 (or 26384382 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 12223708685376 in words is "twelve trillion, two hundred twenty-three billion, seven hundred eight million, six hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 127 152 192 228 254 304 381 456 508 608 762 912 1016 1216 1524 1824 2032 2413 3048 3648 4064 4826 6096 7239 8128 9652 12192 14478 19304 24384 28956 38608 57912 77216 115824 154432 231648 463296 26384231 52768462 79152693 105536924 158305386 211073848 316610772 422147696 501300389 633221544 844295392 1002600778 1266443088 1503901167 1688590784 2005201556 2532886176 3007802334 3350797337 4010403112 5065772352 6015604668 6701594674 8020806224 10052392011 12031209336 13403189348 16041612448 20104784022 24062418672 26806378696 32083224896 40209568044 48124837344 53612757392 63665149403 80419136088 96249674688 107225514784 127330298806 160838272176 190995448209 214451029568 254660597612 321676544352 381990896418 509321195224 643353088704 763981792836 1018642390448 1527963585672 2037284780896 3055927171344 4074569561792 6111854342688 12223708685376