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21212012212000 = 255312781414913
BaseRepresentation
bin1001101001010110011100…
…11100111110111100100000
32210002211220121021012200221
410310223032130332330200
510240014200111241000
6113040355222052424
74316342302603111
oct464531634767440
983084817235627
1021212012212000
116838a66996865
122467043b7a114
13bab39041a89c
14534949c62208
1526bb8e40561a
hex134ace73ef20

21212012212000 has 96 divisors (see below), whose sum is σ = 52122117391344. Its totient is φ = 8484120576000.

The previous prime is 21212012211997. The next prime is 21212012212073. The reversal of 21212012212000 is 21221021212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1576159724304 + 19635852487696 = 1255452^2 + 4431236^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 50916544 + ... + 51331456.

Almost surely, 221212012212000 is an apocalyptic number.

21212012212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212012212000 is an abundant number, since it is smaller than the sum of its proper divisors (30910105179344).

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

21212012212000 is a wasteful number, since it uses less digits than its factorization.

21212012212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427719 (or 427701 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21212012212000 its reverse (21221021212), we get a palindrome (21233233233212).

The spelling of 21212012212000 in words is "twenty-one trillion, two hundred twelve billion, twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 12781 25562 51124 63905 102248 127810 204496 255620 319525 408992 414913 511240 639050 829826 1022480 1278100 1597625 1659652 2044960 2074565 2556200 3195250 3319304 4149130 5112400 6390500 6638608 8298260 10224800 10372825 12781000 13277216 16596520 20745650 25562000 33193040 41491300 51124000 51864125 66386080 82982600 103728250 165965200 207456500 331930400 414913000 829826000 1659652000 5303003053 10606006106 21212012212 26515015265 42424024424 53030030530 84848048848 106060061060 132575076325 169696097696 212120122120 265150152650 424240244240 530300305300 662875381625 848480488480 1060600610600 1325750763250 2121201221200 2651501526500 4242402442400 5303003053000 10606006106000 21212012212000