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120201311120221 = 1729272291163017
BaseRepresentation
bin11011010101001010001100…
…011100110110101101011101
3120202121010121001011112021001
4123111022030130312231131
5111223334241121321341
61103351415304510301
734214154354365122
oct3325121434665535
9522533531145231
10120201311120221
11353330a9538441
121159399ba7b391
13520bc20278516
142197abb328749
15dd6aa2c64d31
hex6d528c736b5d

120201311120221 has 24 divisors (see below), whose sum is σ = 131830346554920. Its totient is φ = 109214385186816.

The previous prime is 120201311120201. The next prime is 120201311120237. The reversal of 120201311120221 is 122021113102021.

It can be written as a sum of positive squares in 12 ways, for example, as 795644376121 + 119405666744100 = 891989^2 + 10927290^2 .

It is not a de Polignac number, because 120201311120221 - 239 = 119651555306333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201311120201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102771505 + ... + 103934521.

It is an arithmetic number, because the mean of its divisors is an integer number (5492931106455).

Almost surely, 2120201311120221 is an apocalyptic number.

It is an amenable number.

120201311120221 is a deficient number, since it is larger than the sum of its proper divisors (11629035434699).

120201311120221 is a wasteful number, since it uses less digits than its factorization.

120201311120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170321 (or 1170292 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 120201311120221 its reverse (122021113102021), we get a palindrome (242222424222242).

The spelling of 120201311120221 in words is "one hundred twenty trillion, two hundred one billion, three hundred eleven million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 17 29 493 841 7229 14297 122893 209641 1163017 3563897 6079589 19771289 33727493 103353013 573367381 978097297 8407449893 16627654049 142926648181 243816046897 4144872797249 7070665360013 120201311120221