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12080124160 = 285134316883
BaseRepresentation
bin10110100000000100…
…00001000100000000
31011011212212220000221
423100002001010000
5144220002433120
65314410552424
7605233234606
oct132002010400
934155786027
1012080124160
115139a08095
122411738714
1311a6939580
14828517876
154aa7eb0aa
hex2d0081100

12080124160 has 144 divisors (see below), whose sum is σ = 31888067904. Its totient is φ = 4356366336.

The previous prime is 12080124151. The next prime is 12080124223. The reversal of 12080124160 is 6142108021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707079 + ... + 723961.

It is an arithmetic number, because the mean of its divisors is an integer number (221444916).

Almost surely, 212080124160 is an apocalyptic number.

12080124160 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 12080124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944033952).

12080124160 is an abundant number, since it is smaller than the sum of its proper divisors (19807943744).

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

12080124160 is a wasteful number, since it uses less digits than its factorization.

12080124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16960 (or 16946 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 12080124160 in words is "twelve billion, eighty million, one hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 128 130 160 172 208 215 256 260 320 344 416 430 520 559 640 688 832 860 1040 1118 1280 1376 1664 1720 2080 2236 2752 2795 3328 3440 4160 4472 5504 5590 6880 8320 8944 11008 11180 13760 16640 16883 17888 22360 27520 33766 35776 44720 55040 67532 71552 84415 89440 135064 143104 168830 178880 219479 270128 337660 357760 438958 540256 675320 715520 725969 877916 1080512 1097395 1350640 1451938 1755832 2161024 2194790 2701280 2903876 3511664 3629845 4322048 4389580 5402560 5807752 7023328 7259690 8779160 9437597 10805120 11615504 14046656 14519380 17558320 18875194 21610240 23231008 28093312 29038760 35116640 37750388 46462016 47187985 56186624 58077520 70233280 75500776 92924032 94375970 116155040 140466560 151001552 185848064 188751940 232310080 280933120 302003104 377503880 464620160 604006208 755007760 929240320 1208012416 1510015520 2416024832 3020031040 6040062080 12080124160