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212002023001200 = 24352441314003271
BaseRepresentation
bin110000001101000010010001…
…010001011100110001110000
31000210122012021111100021022020
4300031002101101130301300
5210241420120342014300
62030520215043311440
762440432522500645
oct6015022121346160
91023565244307266
10212002023001200
116160660a114973
121b93b4b467b580
13913a921b1a2a3
143a4cd4a167dcc
1519799d48b78a0
hexc0d09145cc70

212002023001200 has 120 divisors (see below), whose sum is σ = 679128705230976. Its totient is φ = 56532577632000.

The previous prime is 212002023001193. The next prime is 212002023001207. The reversal of 212002023001200 is 2100320200212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212002023001193) and next prime (212002023001207).

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

It is a super-3 number, since 3×2120020230012003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212002023001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002023001207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50955565 + ... + 54958835.

Almost surely, 2212002023001200 is an apocalyptic number.

212002023001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002023001200 is an abundant number, since it is smaller than the sum of its proper divisors (467126682229776).

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

212002023001200 is a wasteful number, since it uses less digits than its factorization.

212002023001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047423 (or 4047412 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212002023001200 its reverse (2100320200212), we get a palindrome (214102343201412).

The spelling of 212002023001200 in words is "two hundred twelve trillion, two billion, twenty-three million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 44131 88262 132393 176524 220655 264786 353048 441310 529572 661965 706096 882620 1059144 1103275 1323930 1765240 2118288 2206550 2647860 3309825 3530480 4003271 4413100 5295720 6619650 8006542 8826200 10591440 12009813 13239300 16013084 17652400 20016355 24019626 26478600 32026168 40032710 48039252 52957200 60049065 64052336 80065420 96078504 100081775 120098130 160130840 192157008 200163550 240196260 300245325 320261680 400327100 480392520 600490650 800654200 960785040 1200981300 1601308400 2401962600 4803925200 176668352501 353336705002 530005057503 706673410004 883341762505 1060010115006 1413346820008 1766683525010 2120020230012 2650025287515 2826693640016 3533367050020 4240040460024 4416708812525 5300050575030 7066734100040 8480080920048 8833417625050 10600101150060 13250126437575 14133468200080 17666835250100 21200202300120 26500252875150 35333670500200 42400404600240 53000505750300 70667341000400 106001011500600 212002023001200