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122100111201 = 3239786321139
BaseRepresentation
bin111000110110110111…
…0111101011101100001
3102200011100220022110210
41301231232331131201
54000030112024301
6132031513044333
711551516551405
oct1615556753541
9380140808423
10122100111201
1147867369812
121b7b70b66a9
13b68b313a13
145ca4221105
153299540ad6
hex1c6dbbd761

122100111201 has 32 divisors (see below), whose sum is σ = 171836743680. Its totient is φ = 76965318144.

The previous prime is 122100111193. The next prime is 122100111241. The reversal of 122100111201 is 102111001221.

It is not a de Polignac number, because 122100111201 - 23 = 122100111193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122100111241) 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 31 ways as a sum of consecutive naturals, for example, 5765490 + ... + 5786628.

It is an arithmetic number, because the mean of its divisors is an integer number (5369898240).

Almost surely, 2122100111201 is an apocalyptic number.

It is an amenable number.

122100111201 is a deficient number, since it is larger than the sum of its proper divisors (49736632479).

122100111201 is a wasteful number, since it uses less digits than its factorization.

122100111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122100111201 its reverse (102111001221), we get a palindrome (224211112422).

The spelling of 122100111201 in words is "one hundred twenty-two billion, one hundred million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 23 69 97 291 863 2231 2589 6693 19849 21139 59547 63417 83711 251133 486197 1458591 1925353 2050483 5776059 6151449 18242957 47161109 54728871 141483327 419588011 1258764033 1769566829 5308700487 40700037067 122100111201