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21202020121200 = 2435227136512477
BaseRepresentation
bin1001101001000011110101…
…11000001011101001110000
32210001220010020101101221220
410310201322320023221300
510234333214122334300
6113032023520545040
74315536552332052
oct464417270135160
983056106341856
1021202020121200
1168347a9694086
122465115782180
13baa45a26c419
1453427cb9b8d2
1526b7a70aada0
hex13487ae0ba70

21202020121200 has 120 divisors (see below), whose sum is σ = 67942182182448. Its totient is φ = 5651787171840.

The previous prime is 21202020121189. The next prime is 21202020121279. The reversal of 21202020121200 is 212102020212.

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

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 21202020121200.

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, 639 + ... + 6511838.

Almost surely, 221202020121200 is an apocalyptic number.

21202020121200 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 21202020121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33971091091224).

21202020121200 is an abundant number, since it is smaller than the sum of its proper divisors (46740162061248).

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

21202020121200 is a wasteful number, since it uses less digits than its factorization.

21202020121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515211 (or 6515200 counting only the distinct ones).

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

Adding to 21202020121200 its reverse (212102020212), we get a palindrome (21414122141412).

The spelling of 21202020121200 in words is "twenty-one trillion, two hundred two billion, twenty million, one hundred twenty-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 2713 5426 8139 10852 13565 16278 21704 27130 32556 40695 43408 54260 65112 67825 81390 108520 130224 135650 162780 203475 217040 271300 325560 406950 542600 651120 813900 1085200 1627800 3255600 6512477 13024954 19537431 26049908 32562385 39074862 52099816 65124770 78149724 97687155 104199632 130249540 156299448 162811925 195374310 260499080 312598896 325623850 390748620 488435775 520998160 651247700 781497240 976871550 1302495400 1562994480 1953743100 2604990800 3907486200 7814972400 17668350101 35336700202 53005050303 70673400404 88341750505 106010100606 141346800808 176683501010 212020201212 265025251515 282693601616 353367002020 424040402424 441708752525 530050503030 706734004040 848080804848 883417505050 1060101006060 1325126257575 1413468008080 1766835010100 2120202012120 2650252515150 3533670020200 4240404024240 5300505030300 7067340040400 10601010060600 21202020121200