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212300202012000 = 2535317691683501
BaseRepresentation
bin110000010001010111111110…
…001000000110110101100000
31000211200200221002202110110220
4300101113332020012311200
5210311311303203341000
62031305211050323040
762501116626330024
oct6021277610066540
91024620832673426
10212300202012000
1161711012421013
121b989250129480
13915ca915ba39b
143a5d5554cc384
1519826372741a0
hexc115fe206d60

212300202012000 has 96 divisors (see below), whose sum is σ = 695495461830624. Its totient is φ = 56613387200000.

The previous prime is 212300202011983. The next prime is 212300202012037. The reversal of 212300202012000 is 210202003212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8845829751 + ... + 8845853750.

It is an arithmetic number, because the mean of its divisors is an integer number (7244744394069).

Almost surely, 2212300202012000 is an apocalyptic number.

212300202012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212300202012000 is an abundant number, since it is smaller than the sum of its proper divisors (483195259818624).

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

212300202012000 is a wasteful number, since it uses less digits than its factorization.

212300202012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17691683529 (or 17691683511 counting only the distinct ones).

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

Adding to 212300202012000 its reverse (210202003212), we get a palindrome (212510404015212).

The spelling of 212300202012000 in words is "two hundred twelve trillion, three hundred billion, two hundred two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 17691683501 35383367002 53075050503 70766734004 88458417505 106150101006 141533468008 176916835010 212300202012 265375252515 283066936016 353833670020 424600404024 442292087525 530750505030 566133872032 707667340040 849200808048 884584175050 1061501010060 1326876262575 1415334680080 1698401616096 1769168350100 2123002020120 2211460437625 2653752525150 2830669360160 3538336700200 4246004040240 4422920875250 5307505050300 6634381312875 7076673400400 8492008080480 8845841750500 10615010100600 13268762625750 14153346800800 17691683501000 21230020201200 26537525251500 35383367002000 42460040402400 53075050503000 70766734004000 106150101006000 212300202012000