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12122200120201 = 672411094968567
BaseRepresentation
bin1011000001100110101101…
…1011101001101110001001
31120220212111222011101211021
42300121223123221232021
53042102231212321301
641440510054432441
72360541263624353
oct260315333515611
946825458141737
1012122200120201
113953aa5a40886
121439444362721
1369c17064b212
142dca091d40d3
151604d61188a1
hexb066b6e9b89

12122200120201 has 16 divisors (see below), whose sum is σ = 12355487337600. Its totient is φ = 11890463397120.

The previous prime is 12122200120181. The next prime is 12122200120273. The reversal of 12122200120201 is 10202100222121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12122200120201 - 27 = 12122200120073 is a prime.

It is a super-2 number, since 2×121222001202012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122200120291) 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, 176759220 + ... + 176827786.

It is an arithmetic number, because the mean of its divisors is an integer number (772217958600).

Almost surely, 212122200120201 is an apocalyptic number.

It is an amenable number.

12122200120201 is a deficient number, since it is larger than the sum of its proper divisors (233287217399).

12122200120201 is a wasteful number, since it uses less digits than its factorization.

12122200120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79824.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122200120201 its reverse (10202100222121), we get a palindrome (22324300342322).

The spelling of 12122200120201 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, one hundred twenty thousand, two hundred one".

Divisors: 1 67 241 10949 16147 68567 733583 2638709 4593989 16524647 176793503 750740083 1107151349 50299585561 180928360003 12122200120201