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12168516720 = 2435367713789
BaseRepresentation
bin10110101010100110…
…01101010001110000
31011102001012200211110
423111103031101300
5144410120013340
65331245313320
7610355454063
oct132523152160
934361180743
1012168516720
1151848a0798
122437265840
1311bc047969
148361668da
154b345b680
hex2d54cd470

12168516720 has 80 divisors (see below), whose sum is σ = 37735397280. Its totient is φ = 3243820032.

The previous prime is 12168516677. The next prime is 12168516733. The reversal of 12168516720 is 2761586121.

It is a Cunningham number, because it is equal to 1103112-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875586 + ... + 889374.

It is an arithmetic number, because the mean of its divisors is an integer number (471692466).

Almost surely, 212168516720 is an apocalyptic number.

12168516720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12168516720 is an abundant number, since it is smaller than the sum of its proper divisors (25566880560).

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

12168516720 is a wasteful number, since it uses less digits than its factorization.

12168516720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17482 (or 17476 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 12168516720 in words is "twelve billion, one hundred sixty-eight million, five hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3677 7354 11031 13789 14708 18385 22062 27578 29416 36770 41367 44124 55155 55156 58832 68945 73540 82734 88248 110310 110312 137890 147080 165468 176496 206835 220620 220624 275780 294160 330936 413670 441240 551560 661872 827340 882480 1103120 1654680 3309360 50702153 101404306 152106459 202808612 253510765 304212918 405617224 507021530 608425836 760532295 811234448 1014043060 1216851672 1521064590 2028086120 2433703344 3042129180 4056172240 6084258360 12168516720