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12012001100200 = 2352233257980153
BaseRepresentation
bin1010111011001100001100…
…0011110000000110101000
31120112100002000021011100001
42232303003003300012220
53033301034240201300
641314123115152344
72346560404460563
oct256630303600650
946470060234301
1012012001100200
113911296518032
12142000aa456b4
1369195ab4b0ca
142d75538054da
1515c6d680c16a
hexaecc30f01a8

12012001100200 has 96 divisors (see below), whose sum is σ = 29143417291200. Its totient is φ = 4595697666560.

The previous prime is 12012001100189. The next prime is 12012001100201. The reversal of 12012001100200 is 200110021021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12012001100201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 149823324 + ... + 149903476.

It is an arithmetic number, because the mean of its divisors is an integer number (303577263450).

Almost surely, 212012001100200 is an apocalyptic number.

12012001100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012001100200 is an abundant number, since it is smaller than the sum of its proper divisors (17131416191000).

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

12012001100200 is a wasteful number, since it uses less digits than its factorization.

12012001100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112771 (or 112762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12012001100200 its reverse (200110021021), we get a palindrome (12212111121221).

The spelling of 12012001100200 in words is "twelve trillion, twelve billion, one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 32579 65158 80153 130316 160306 162895 260632 320612 325790 400765 641224 651580 749317 801530 814475 1303160 1498634 1603060 1628950 1843519 2003825 2997268 3206120 3257900 3687038 3746585 4007650 5994536 6515800 7374076 7493170 8015300 9217595 14748152 14986340 16030600 18435190 18732925 29972680 36870380 37465850 46087975 73740760 74931700 92175950 149863400 184351900 368703800 2611304587 5222609174 10445218348 13056522935 20890436696 26113045870 52226091740 60060005501 65282614675 104452183480 120120011002 130565229350 240240022004 261130458700 300300027505 480480044008 522260917400 600600055010 1201200110020 1501500137525 2402400220040 3003000275050 6006000550100 12012001100200