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21012110121200 = 24521127131760221
BaseRepresentation
bin1001100011100010000110…
…10111000001100011110000
32202101201221002012211101012
410301301003113001203300
510223230300142334300
6112404455150330052
74266034451062502
oct461610327014360
982351832184335
1021012110121200
116771205419260
1224343551b9928
13b9558348c663
14528dc4b89d72
1526688e871435
hex131c435c18f0

21012110121200 has 120 divisors (see below), whose sum is σ = 55091160602256. Its totient is φ = 7637946624000.

The previous prime is 21012110121127. The next prime is 21012110121239. The reversal of 21012110121200 is 212101121012.

It is a congruent number.

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, 11057090 + ... + 12817310.

Almost surely, 221012110121200 is an apocalyptic number.

21012110121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012110121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27545580301128).

21012110121200 is an abundant number, since it is smaller than the sum of its proper divisors (34079050481056).

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

21012110121200 is a wasteful number, since it uses less digits than its factorization.

21012110121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762963 (or 1762952 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21012110121200 its reverse (212101121012), we get a palindrome (21224211242212).

The spelling of 21012110121200 in words is "twenty-one trillion, twelve billion, one hundred ten million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2713 4400 5426 10852 13565 21704 27130 29843 43408 54260 59686 67825 108520 119372 135650 149215 217040 238744 271300 298430 477488 542600 596860 746075 1085200 1193720 1492150 1760221 2387440 2984300 3520442 5968600 7040884 8801105 11937200 14081768 17602210 19362431 28163536 35204420 38724862 44005525 70408840 77449724 88011050 96812155 140817680 154899448 176022100 193624310 309798896 352044200 387248620 484060775 704088400 774497240 968121550 1548994480 1936243100 3872486200 4775479573 7744972400 9550959146 19101918292 23877397865 38203836584 47754795730 52530275303 76407673168 95509591460 105060550606 119386989325 191019182920 210121101212 238773978650 262651376515 382038365840 420242202424 477547957300 525302753030 840484404848 955095914600 1050605506060 1313256882575 1910191829200 2101211012120 2626513765150 4202422024240 5253027530300 10506055060600 21012110121200