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12122120220201 = 331932297318013
BaseRepresentation
bin1011000001100110011010…
…1010110110111000101001
31120220212022101211001122000
42300121212222312320221
53042102100234021301
641440454122121213
72360536303525635
oct260314652667051
946825271731560
1012122120220201
113953a64928822
121439421650209
1369c159c24504
142dc9dc755dc5
151604ce0d4786
hexb0666ab6e29

12122120220201 has 32 divisors (see below), whose sum is σ = 18909748176000. Its totient is φ = 7653703846464.

The previous prime is 12122120220157. The next prime is 12122120220211. The reversal of 12122120220201 is 10202202122121.

It is a happy number.

12122120220201 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 20 + 220 + 201 = 666.

12122120220201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122120220201 - 215 = 12122120187433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122120220211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2002530 + ... + 5315483.

It is an arithmetic number, because the mean of its divisors is an integer number (590929630500).

Almost surely, 212122120220201 is an apocalyptic number.

It is an amenable number.

12122120220201 is a deficient number, since it is larger than the sum of its proper divisors (6787627955799).

12122120220201 is a wasteful number, since it uses less digits than its factorization.

12122120220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321270 (or 7321264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122120220201 its reverse (10202202122121), we get a palindrome (22324322342322).

The spelling of 12122120220201 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 19 27 57 171 513 3229 9687 29061 61351 87183 184053 552159 1656477 7318013 21954039 65862117 139042247 197586351 417126741 1251380223 3754140669 23629863977 70889591931 212668775793 448967415563 638006327379 1346902246689 4040706740067 12122120220201