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12011321104000 = 27531037288423
BaseRepresentation
bin1010111011001001101010…
…0001110001011010000000
31120112021022121201202220121
42232302122201301122000
53033243141200312000
641313531424350024
72346534506552431
oct256623241613200
946467277652817
1012011321104000
113910a776a08a9
12141ba5b175314
1369187ccc3aaa
142d74cb397488
1515c696c8bb1a
hexaec9a871680

12011321104000 has 128 divisors (see below), whose sum is σ = 30153084698880. Its totient is φ = 4757881881600.

The previous prime is 12011321103953. The next prime is 12011321104129. The reversal of 12011321104000 is 40112311021.

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

It is a super-3 number, since 3×120113211040003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 1996212 + ... + 5292211.

It is an arithmetic number, because the mean of its divisors is an integer number (235570974210).

Almost surely, 212011321104000 is an apocalyptic number.

12011321104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011321104000 is an abundant number, since it is smaller than the sum of its proper divisors (18141763594880).

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

12011321104000 is an equidigital number, since it uses as much as digits as its factorization.

12011321104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288555 (or 7288533 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12011321104000 its reverse (40112311021), we get a palindrome (12051433415021).

The spelling of 12011321104000 in words is "twelve trillion, eleven billion, three hundred twenty-one million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 128 160 200 206 250 320 400 412 500 515 640 800 824 1000 1030 1600 1648 2000 2060 2575 3200 3296 4000 4120 5150 6592 8000 8240 10300 12875 13184 16000 16480 20600 25750 32960 41200 51500 65920 82400 103000 164800 206000 329600 412000 824000 1648000 7288423 14576846 29153692 36442115 58307384 72884230 116614768 145768460 182210575 233229536 291536920 364421150 466459072 583073840 728842300 750707569 911052875 932918144 1166147680 1457684600 1501415138 1822105750 2332295360 2915369200 3002830276 3644211500 3753537845 4664590720 5830738400 6005660552 7288423000 7507075690 11661476800 12011321104 14576846000 15014151380 18767689225 23322953600 24022642208 29153692000 30028302760 37535378450 48045284416 58307384000 60056605520 75070756900 93838446125 96090568832 116614768000 120113211040 150141513800 187676892250 240226422080 300283027600 375353784500 480452844160 600566055200 750707569000 1201132110400 1501415138000 2402264220800 3002830276000 6005660552000 12011321104000