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122022221220121 = 535940995408647
BaseRepresentation
bin11011101111101010000011…
…001001101000100100011001
3121000001012200101202211100011
4123233222003021220210121
5111443203002113020441
61111304122355441521
734462546252015435
oct3357520311504431
9530035611684304
10122022221220121
1135975373847622
1211828882bb62a1
1353118525b9bb1
14221bc9ac079c5
15e191283ad581
hex6efa83268919

122022221220121 has 16 divisors (see below), whose sum is σ = 126740848003200. Its totient is φ = 117403010345088.

The previous prime is 122022221220023. The next prime is 122022221220167. The reversal of 122022221220121 is 121022122220221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122022221220121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122022221220092 and 122022221220101.

It is not an unprimeable number, because it can be changed into a prime (122022221220721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46425381 + ... + 48983266.

It is an arithmetic number, because the mean of its divisors is an integer number (7921303000200).

Almost surely, 2122022221220121 is an apocalyptic number.

It is an amenable number.

122022221220121 is a deficient number, since it is larger than the sum of its proper divisors (4718626783079).

122022221220121 is an equidigital number, since it uses as much as digits as its factorization.

122022221220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95409168.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 122022221220121 its reverse (121022122220221), we get a palindrome (243044343440342).

The spelling of 122022221220121 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 53 59 409 3127 21677 24131 1278943 95408647 5056658291 5629110173 39022136623 298342839169 2068173241019 2302306060757 122022221220121