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20122212010221 = 32171167411126577
BaseRepresentation
bin1001001001101000100010…
…10011001000100011101101
32122020122221112220212201200
410210310101103020203231
510114140242233311341
6110444003325400113
74144532112664446
oct444642123104355
978218845825650
1020122212010221
116458867105182
12230b9a0109039
13b2c693846299
144d7cc528a2cd
1524d65912bdb6
hex124d114c88ed

20122212010221 has 24 divisors (see below), whose sum is σ = 30775438716984. Its totient is φ = 12625582295040.

The previous prime is 20122212010193. The next prime is 20122212010253. The reversal of 20122212010221 is 12201021222102.

It is a happy number.

20122212010221 is a `hidden beast` number, since 20 + 1 + 2 + 221 + 201 + 0 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1672524014121 + 18449687996100 = 1293261^2 + 4295310^2 .

It is not a de Polignac number, because 20122212010221 - 27 = 20122212010093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20122212010194 and 20122212010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122212000221) by changing a digit.

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, 17298085 + ... + 18424661.

It is an arithmetic number, because the mean of its divisors is an integer number (1282309946541).

Almost surely, 220122212010221 is an apocalyptic number.

It is an amenable number.

20122212010221 is a deficient number, since it is larger than the sum of its proper divisors (10653226706763).

20122212010221 is a wasteful number, since it uses less digits than its factorization.

20122212010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243341 (or 1243338 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122212010221 its reverse (12201021222102), we get a palindrome (32323233232323).

The spelling of 20122212010221 in words is "twenty trillion, one hundred twenty-two billion, two hundred twelve million, ten thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 116741 350223 1050669 1126577 1984597 3379731 5953791 10139193 17861373 19151809 57455427 172366281 131517725557 394553176671 1183659530013 2235801334469 6707404003407 20122212010221