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12020000121120 = 253564493883031
BaseRepresentation
bin1010111011101001111111…
…0101100110000100100000
31120120002201110211112012010
42232322133311212010200
53033413430012333440
641321524542032520
72350262544152355
oct256723765460440
946502643745163
1012020000121120
113914720786922
121421681878740
1369263410a694
142d7ab1cd662c
1515ca03bb2580
hexaee9fd66120

12020000121120 has 96 divisors (see below), whose sum is σ = 37868881276800. Its totient is φ = 3204835512320.

The previous prime is 12020000121071. The next prime is 12020000121149. The reversal of 12020000121120 is 2112100002021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12020000121096 and 12020000121105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154005 + ... + 5037035.

It is an arithmetic number, because the mean of its divisors is an integer number (394467513300).

Almost surely, 212020000121120 is an apocalyptic number.

12020000121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020000121120 is an abundant number, since it is smaller than the sum of its proper divisors (25848881155680).

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

12020000121120 is a wasteful number, since it uses less digits than its factorization.

12020000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889498 (or 3889490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020000121120 its reverse (2112100002021), we get a palindrome (14132100123141).

The spelling of 12020000121120 in words is "twelve trillion, twenty billion, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6449 12898 19347 25796 32245 38694 51592 64490 77388 96735 103184 128980 154776 193470 206368 257960 309552 386940 515920 619104 773880 1031840 1547760 3095520 3883031 7766062 11649093 15532124 19415155 23298186 31064248 38830310 46596372 58245465 62128496 77660620 93192744 116490930 124256992 155321240 186385488 232981860 310642480 372770976 465963720 621284960 931927440 1863854880 25041666919 50083333838 75125000757 100166667676 125208334595 150250001514 200333335352 250416669190 300500003028 375625003785 400666670704 500833338380 601000006056 751250007570 801333341408 1001666676760 1202000012112 1502500015140 2003333353520 2404000024224 3005000030280 4006666707040 6010000060560 12020000121120