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12120122120000 = 26541717823709
BaseRepresentation
bin1011000001011110111110…
…0100101101011101000000
31120220200011011001001102212
42300113233210231131000
53042034002230320000
641435523544001252
72360435632125626
oct260275744553500
946820134031385
1012120122120000
113953129a69544
121438b64460228
1369bbcbc93abb
142dc88d233516
15160413999c35
hexb05ef92d740

12120122120000 has 140 divisors (see below), whose sum is σ = 31821845827860. Its totient is φ = 4562869248000.

The previous prime is 12120122119997. The next prime is 12120122120011. The reversal of 12120122120000 is 2122102121.

12120122120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 9050085488896 + 3070036631104 = 3008336^2 + 1752152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8231855 + ... + 9591854.

Almost surely, 212120122120000 is an apocalyptic number.

12120122120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120122120000 is an abundant number, since it is smaller than the sum of its proper divisors (19701723707860).

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

12120122120000 is an equidigital number, since it uses as much as digits as its factorization.

12120122120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17823758 (or 17823733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120122120000 its reverse (2122102121), we get a palindrome (12122244222121).

The spelling of 12120122120000 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 20000 21250 27200 34000 40000 42500 68000 85000 136000 170000 340000 680000 17823709 35647418 71294836 89118545 142589672 178237090 285179344 303003053 356474180 445592725 570358688 606006106 712948360 891185450 1140717376 1212012212 1425896720 1515015265 1782370900 2227963625 2424024424 2851793440 3030030530 3564741800 4455927250 4848048848 5703586880 6060061060 7129483600 7575076325 8911854500 9696097696 11139818125 12120122120 14258967200 15150152650 17823709000 19392195392 22279636250 24240244240 28517934400 30300305300 35647418000 37875381625 44559272500 48480488480 60600610600 71294836000 75750763250 89118545000 96960976960 121201221200 142589672000 151501526500 178237090000 189376908125 242402442400 303003053000 356474180000 378753816250 484804884800 606006106000 712948360000 757507632500 1212012212000 1515015265000 2424024424000 3030030530000 6060061060000 12120122120000