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122120101200201 = 31319463361398519
BaseRepresentation
bin11011110001000101001101…
…010000001000000101001001
3121000101120022211012222222120
4123301011031100020011021
5112001303431401401301
61111421111111241453
734502612644066026
oct3361051520100511
9530346284188876
10122120101200201
1135a02931510345
121184383a979289
13531ab50b1c280
14222290448a54d
15e1b956428e36
hex6f114d408149

122120101200201 has 64 divisors (see below), whose sum is σ = 185032729190400. Its totient is φ = 71021370841344.

The previous prime is 122120101200193. The next prime is 122120101200217. The reversal of 122120101200201 is 102002101021221.

It is not a de Polignac number, because 122120101200201 - 23 = 122120101200193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122120101200281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239509620 + ... + 1239608138.

It is an arithmetic number, because the mean of its divisors is an integer number (2891136393600).

Almost surely, 2122120101200201 is an apocalyptic number.

It is an amenable number.

122120101200201 is a deficient number, since it is larger than the sum of its proper divisors (62912627990199).

122120101200201 is a wasteful number, since it uses less digits than its factorization.

122120101200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102630.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122120101200201 its reverse (102002101021221), we get a palindrome (224122202221422).

The spelling of 122120101200201 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred one million, two hundred thousand, two hundred one".

Divisors: 1 3 13 19 39 57 247 463 741 1389 3613 6019 8797 10839 18057 26391 46969 68647 98519 114361 140907 205941 295557 343083 892411 1280747 1672819 1871861 2677233 3842241 5018457 5615583 21746647 24334193 31783561 45614297 65239941 73002579 95350683 136842891 355949147 413186293 592985861 866671643 1067847441 1239558879 1778957583 2600014929 4627338911 6763033793 11266731359 13882016733 20289101379 33800194077 87919439309 164804455061 263758317927 494413365183 2142457915793 3131284646159 6427373747379 9393853938477 40706700400067 122120101200201