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12021121200 = 2435211910691
BaseRepresentation
bin10110011001000001…
…11100000010110000
31011000202212020012010
423030200330002300
5144104401334300
65304502202520
7603615562404
oct131440740260
934022766163
1012021121200
115109678310
1223b5a23440
13119764b38a
14820759104
154a5543a50
hex2cc83c0b0

12021121200 has 120 divisors (see below), whose sum is σ = 42008400576. Its totient is φ = 2914208000.

The previous prime is 12021121199. The next prime is 12021121219. The reversal of 12021121200 is 212112021.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442146 + ... + 468545.

Almost surely, 212021121200 is an apocalyptic number.

12021121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021121200 is an abundant number, since it is smaller than the sum of its proper divisors (29987279376).

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

12021121200 is a wasteful number, since it uses less digits than its factorization.

12021121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910723 (or 910712 counting only the distinct ones).

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

Adding to 12021121200 its reverse (212112021), we get a palindrome (12233233221).

The spelling of 12021121200 in words is "twelve billion, twenty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 910691 1821382 2732073 3642764 4553455 5464146 7285528 9106910 10017601 10928292 13660365 14571056 18213820 20035202 21856584 22767275 27320730 30052803 36427640 40070404 43713168 45534550 50088005 54641460 60105606 68301825 72855280 80140808 91069100 100176010 109282920 120211212 136603650 150264015 160281616 182138200 200352020 218565840 240422424 250440025 273207300 300528030 364276400 400704040 480844848 500880050 546414600 601056060 751320075 801408080 1001760100 1092829200 1202112120 1502640150 2003520200 2404224240 3005280300 4007040400 6010560600 12021121200