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212012022001200 = 24352176676685001
BaseRepresentation
bin110000001101001011100101…
…010000100110111000110000
31000210200011002100020002200120
4300031023211100212320300
5210242101110113014300
62030524551152450240
762441235355546311
oct6015134520467060
91023604070202616
10212012022001200
116160a880306633
121b941425249980
13913b856547535
143a4d61810a608
151979dbc6293a0
hexc0d2e5426e30

212012022001200 has 60 divisors (see below), whose sum is σ = 679145177147688. Its totient is φ = 56536539200000.

The previous prime is 212012022001189. The next prime is 212012022001201. The reversal of 212012022001200 is 2100220210212.

It is a tau number, because it is divible by the number of its divisors (60).

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 212012022001200.

It is not an unprimeable number, because it can be changed into a prime (212012022001201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88338341301 + ... + 88338343700.

Almost surely, 2212012022001200 is an apocalyptic number.

212012022001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012022001200 is an abundant number, since it is smaller than the sum of its proper divisors (467133155146488).

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

212012022001200 is a wasteful number, since it uses less digits than its factorization.

212012022001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176676685022 (or 176676685011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212012022001200 its reverse (2100220210212), we get a palindrome (214112242211412).

The spelling of 212012022001200 in words is "two hundred twelve trillion, twelve billion, twenty-two 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 176676685001 353353370002 530030055003 706706740004 883383425005 1060060110006 1413413480008 1766766850010 2120120220012 2650150275015 2826826960016 3533533700020 4240240440024 4416917125025 5300300550030 7067067400040 8480480880048 8833834250050 10600601100060 13250751375075 14134134800080 17667668500100 21201202200120 26501502750150 35335337000200 42402404400240 53003005500300 70670674000400 106006011000600 212012022001200