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12122310301311 = 3730710099186187
BaseRepresentation
bin1011000001100111000111…
…1111111101011001111111
31120220212210122111011220010
42300121301333331121333
53042102442414120221
641440525032154303
72360544102302160
oct260316177753177
946825718434803
1012122310301311
113954052156551
121439475238993
1369c18a417b42
142dca19ab5767
151604e0b2ec76
hexb0671ffd67f

12122310301311 has 32 divisors (see below), whose sum is σ = 18534196172800. Its totient is φ = 6903750069216.

The previous prime is 12122310301289. The next prime is 12122310301327. The reversal of 12122310301311 is 11310301322121.

It is not a de Polignac number, because 12122310301311 - 226 = 12122243192447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122310301511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65015160 + ... + 65201346.

It is an arithmetic number, because the mean of its divisors is an integer number (579193630400).

Almost surely, 212122310301311 is an apocalyptic number.

12122310301311 is a deficient number, since it is larger than the sum of its proper divisors (6411885871489).

12122310301311 is a wasteful number, since it uses less digits than its factorization.

12122310301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196603.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12122310301311 its reverse (11310301322121), we get a palindrome (23432611623432).

The spelling of 12122310301311 in words is "twelve trillion, one hundred twenty-two billion, three hundred ten million, three hundred one thousand, three hundred eleven".

Divisors: 1 3 7 21 307 921 2149 6447 10099 30297 70693 186187 212079 558561 1303309 3100393 3909927 9301179 21702751 57159409 65108253 171478227 400115863 1200347589 1880302513 5640907539 13162117591 39486352773 577252871491 1731758614473 4040770100437 12122310301311