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201210122120121 = 322714491139316127
BaseRepresentation
bin101101101111111111100001…
…110110101010101110111001
3222101102111111100220010222200
4231233333201312222232321
5202333111312230320441
61551534353134140413
760244644253524042
oct5557774166525671
9871374440803880
10201210122120121
1159125808444074
121a697a52951709
138837057950c7a
14379889c5bd8c9
15183de0c70b7b6
hexb6ffe1daabb9

201210122120121 has 48 divisors (see below), whose sum is σ = 292402781798400. Its totient is φ = 133327476817920.

The previous prime is 201210122120107. The next prime is 201210122120123. The reversal of 201210122120121 is 121021221012102.

201210122120121 is a `hidden beast` number, since 201 + 2 + 101 + 221 + 20 + 121 = 666.

It is not a de Polignac number, because 201210122120121 - 238 = 200935244213177 is a prime.

It is a super-2 number, since 2×2012101221201212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201210122120094 and 201210122120103.

It is not an unprimeable number, because it can be changed into a prime (201210122120123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12476591560 + ... + 12476607686.

It is an arithmetic number, because the mean of its divisors is an integer number (6091724620800).

Almost surely, 2201210122120121 is an apocalyptic number.

It is an amenable number.

201210122120121 is a deficient number, since it is larger than the sum of its proper divisors (91192659678279).

201210122120121 is a wasteful number, since it uses less digits than its factorization.

201210122120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28246 (or 28243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201210122120121 its reverse (121021221012102), we get a palindrome (322231343132223).

The spelling of 201210122120121 in words is "two hundred one trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 271 449 813 1347 2439 4041 11393 16127 34179 48381 102537 121679 145143 365037 1095111 3087503 4370417 5115457 7241023 9262509 13111251 15346371 21723069 27787527 39333753 46039113 65169207 183734911 551204733 1386288847 1653614199 1962317233 4158866541 5886951699 12476599623 17660855097 49792160881 82496975039 149376482643 247490925117 448129447929 742472775351 22356680235569 67070040706707 201210122120121