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12312001200 = 2435223446087
BaseRepresentation
bin10110111011101101…
…00011101010110000
31011210001012110112110
423131312203222300
5200203333014300
65353412525320
7614050166142
oct133566435260
934701173473
1012312001200
115248892804
122477320840
1312129a5015
1484b236c92
154c0d50550
hex2ddda3ab0

12312001200 has 120 divisors (see below), whose sum is σ = 41154294528. Its totient is φ = 3140445440.

The previous prime is 12312001181. The next prime is 12312001211. The reversal of 12312001200 is 210021321.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195444 + ... + 250643.

Almost surely, 212312001200 is an apocalyptic number.

12312001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312001200 is an abundant number, since it is smaller than the sum of its proper divisors (28842293328).

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

12312001200 is a wasteful number, since it uses less digits than its factorization.

12312001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446131 (or 446120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12312001200 its reverse (210021321), we get a palindrome (12522022521).

The spelling of 12312001200 in words is "twelve billion, three hundred twelve million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5520 6900 9200 13800 27600 446087 892174 1338261 1784348 2230435 2676522 3568696 4460870 5353044 6691305 7137392 8921740 10260001 10706088 11152175 13382610 17843480 20520002 21412176 22304350 26765220 30780003 33456525 35686960 41040004 44608700 51300005 53530440 61560006 66913050 82080008 89217400 102600010 107060880 123120012 133826100 153900015 164160016 178434800 205200020 246240024 256500025 267652200 307800030 410400040 492480048 513000050 535304400 615600060 769500075 820800080 1026000100 1231200120 1539000150 2052000200 2462400240 3078000300 4104000400 6156000600 12312001200