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21212020201200 = 2435226321671581
BaseRepresentation
bin1001101001010110011101…
…11011011101011011110000
32210002211221011022002211020
410310223032323131123300
510240014204132414300
6113040400105215440
74316342430526203
oct464531673353360
983084834262736
1021212020201200
116838a70453204
122467046791580
13bab391c8711a
1453494ad4193a
1526bb8ee828a0
hex134aceedd6f0

21212020201200 has 120 divisors (see below), whose sum is σ = 67951854116976. Its totient is φ = 5656315392000.

The previous prime is 21212020201193. The next prime is 21212020201223. The reversal of 21212020201200 is 210202021212.

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

It is a super-2 number, since 2×212120202012002 (a number of 27 digits) contains 22 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 21212020201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31249410 + ... + 31920990.

Almost surely, 221212020201200 is an apocalyptic number.

21212020201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212020201200 is an abundant number, since it is smaller than the sum of its proper divisors (46739833915776).

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

21212020201200 is a wasteful number, since it uses less digits than its factorization.

21212020201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697923 (or 697912 counting only the distinct ones).

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

Adding to 21212020201200 its reverse (210202021212), we get a palindrome (21422222222412).

The spelling of 21212020201200 in words is "twenty-one trillion, two hundred twelve billion, twenty million, two hundred 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 26321 52642 78963 105284 131605 157926 210568 263210 315852 394815 421136 526420 631704 658025 671581 789630 1052840 1263408 1316050 1343162 1579260 1974075 2014743 2105680 2632100 2686324 3158520 3357905 3948150 4029486 5264200 5372648 6317040 6715810 7896300 8058972 10073715 10528400 10745296 13431620 15792600 16117944 16789525 20147430 26863240 31585200 32235888 33579050 40294860 50368575 53726480 67158100 80589720 100737150 134316200 161179440 201474300 268632400 402948600 805897200 17676683501 35353367002 53030050503 70706734004 88383417505 106060101006 141413468008 176766835010 212120202012 265150252515 282826936016 353533670020 424240404024 441917087525 530300505030 707067340040 848480808048 883834175050 1060601010060 1325751262575 1414134680080 1767668350100 2121202020120 2651502525150 3535336700200 4242404040240 5303005050300 7070673400400 10606010100600 21212020201200