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122102000122221 = 3373120840075119
BaseRepresentation
bin11011110000110100010110…
…010101111111100101101101
3121000022211121022211222001000
4123300310112111333211231
5112001004344012402341
61111404515014310513
734501402250341650
oct3360642625774555
9530284538758030
10122102000122221
11359a6192970569
1211840228958439
13531922798b642
142221aa846b897
15e1b2472568b6
hex6f0d1657f96d

122102000122221 has 32 divisors (see below), whose sum is σ = 213402369228800. Its totient is φ = 67521843382320.

The previous prime is 122102000122217. The next prime is 122102000122243. The reversal of 122102000122221 is 122221000201221.

It is a happy number.

122102000122221 is a `hidden beast` number, since 1 + 221 + 0 + 200 + 0 + 1 + 22 + 221 = 666.

It is not a de Polignac number, because 122102000122221 - 22 = 122102000122217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122102000122194 and 122102000122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102000122321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10420031701 + ... + 10420043418.

It is an arithmetic number, because the mean of its divisors is an integer number (6668824038400).

Almost surely, 2122102000122221 is an apocalyptic number.

It is an amenable number.

122102000122221 is a deficient number, since it is larger than the sum of its proper divisors (91300369106579).

122102000122221 is a wasteful number, since it uses less digits than its factorization.

122102000122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20840075166 (or 20840075160 counting only the distinct ones).

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

Adding to 122102000122221 its reverse (122221000201221), we get a palindrome (244323000323442).

The spelling of 122102000122221 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859 20840075119 62520225357 145880525833 187560676071 437641577499 562682028213 646042328689 1312924732497 1938126986067 3938774197491 4522296300823 5814380958201 13566888902469 17443142874603 40700666707407 122102000122221