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12611720000 = 26541128663
BaseRepresentation
bin10111011111011011…
…11001001101000000
31012112221011202102202
423233231321031000
5201312100020000
65443240532332
7624346564655
oct135755711500
935487152382
1012611720000
115391a949a0
12253b7810a8
13125cb04b19
14878d75c2c
154dc305dd5
hex2efb79340

12611720000 has 140 divisors (see below), whose sum is σ = 34117154016. Its totient is φ = 4585920000.

The previous prime is 12611719997. The next prime is 12611720021. The reversal of 12611720000 is 2711621.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 425669 + ... + 454331.

Almost surely, 212611720000 is an apocalyptic number.

12611720000 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 12611720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17058577008).

12611720000 is an abundant number, since it is smaller than the sum of its proper divisors (21505434016).

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

12611720000 is an equidigital number, since it uses as much as digits as its factorization.

12611720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28706 (or 28681 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The spelling of 12611720000 in words is "twelve billion, six hundred eleven million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 28663 40000 44000 55000 57326 88000 110000 114652 143315 220000 229304 286630 315293 440000 458608 573260 630586 716575 917216 1146520 1261172 1433150 1576465 1834432 2293040 2522344 2866300 3152930 3582875 4586080 5044688 5732600 6305860 7165750 7882325 9172160 10089376 11465200 12611720 14331500 15764650 17914375 20178752 22930400 25223440 28663000 31529300 35828750 39411625 45860800 50446880 57326000 63058600 71657500 78823250 100893760 114652000 126117200 143315000 157646500 197058125 229304000 252234400 286630000 315293000 394116250 504468800 573260000 630586000 788232500 1146520000 1261172000 1576465000 2522344000 3152930000 6305860000 12611720000