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12289122886272 = 273311278128759
BaseRepresentation
bin1011001011010100100011…
…0011011110001010000000
31121111211101002210111120120
42302311020303132022000
53102321110424330042
642045313424540240
72405600631004131
oct262651063361200
947454332714516
1012289122886272
113a08873546611
12146586a481680
136b1b22bbb70b
14306b222bbc88
15164a05715dec
hexb2d48cde280

12289122886272 has 128 divisors (see below), whose sum is σ = 33961308979200. Its totient is φ = 3933018270720.

The previous prime is 12289122886253. The next prime is 12289122886273. The reversal of 12289122886272 is 27268822198221.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12289122886273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2552572 + ... + 5576187.

It is an arithmetic number, because the mean of its divisors is an integer number (265322726400).

Almost surely, 212289122886272 is an apocalyptic number.

12289122886272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12289122886272 is an abundant number, since it is smaller than the sum of its proper divisors (21672186092928).

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

12289122886272 is a wasteful number, since it uses less digits than its factorization.

12289122886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128934 (or 8128922 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The spelling of 12289122886272 in words is "twelve trillion, two hundred eighty-nine billion, one hundred twenty-two million, eight hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 372 381 384 496 508 744 762 992 1016 1488 1524 1984 2032 2976 3048 3937 3968 4064 5952 6096 7874 8128 11811 11904 12192 15748 16256 23622 24384 31496 47244 48768 62992 94488 125984 188976 251968 377952 503936 755904 1511808 8128759 16257518 24386277 32515036 48772554 65030072 97545108 130060144 195090216 251991529 260120288 390180432 503983058 520240576 755974587 780360864 1007966116 1032352393 1040481152 1511949174 1560721728 2015932232 2064704786 3023898348 3097057179 3121443456 4031864464 4129409572 6047796696 6194114358 8063728928 8258819144 12095593392 12388228716 16127457856 16517638288 24191186784 24776457432 32002924183 32254915712 33035276576 48382373568 49552914864 64005848366 66070553152 96008772549 96764747136 99105829728 128011696732 132141106304 192017545098 198211659456 256023393464 384035090196 396423318912 512046786928 768070180392 1024093573856 1536140360784 2048187147712 3072280721568 4096374295424 6144561443136 12289122886272