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12221012320011 = 3211162775872507
BaseRepresentation
bin1011000111010110110100…
…0110010001111100001011
31121021022120100202020112100
42301311231012101330023
53100212113123220021
641554131111044443
72400640035515505
oct261655506217413
947238510666470
1012221012320011
1139919a1943030
121454620370723
136a858a0483c1
143037005bcd75
15162d6ae27626
hexb1d6d191f0b

12221012320011 has 24 divisors (see below), whose sum is σ = 19269189111744. Its totient is φ = 7402121685360.

The previous prime is 12221012320009. The next prime is 12221012320019. The reversal of 12221012320011 is 11002321012221.

12221012320011 is a `hidden beast` number, since 122 + 210 + 1 + 2 + 320 + 0 + 11 = 666.

It is not a de Polignac number, because 12221012320011 - 21 = 12221012320009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221012320019) 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 23 ways as a sum of consecutive naturals, for example, 37775181 + ... + 38097326.

It is an arithmetic number, because the mean of its divisors is an integer number (802882879656).

Almost surely, 212221012320011 is an apocalyptic number.

12221012320011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12221012320011 is a deficient number, since it is larger than the sum of its proper divisors (7048176791733).

12221012320011 is a wasteful number, since it uses less digits than its factorization.

12221012320011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75874151 (or 75874148 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12221012320011 its reverse (11002321012221), we get a palindrome (23223333332232).

The spelling of 12221012320011 in words is "twelve trillion, two hundred twenty-one billion, twelve million, three hundred twenty thousand, eleven".

Divisors: 1 3 9 11 33 99 1627 4881 14643 17897 53691 161073 75872507 227617521 682852563 834597577 2503792731 7511378193 123444568889 370333706667 1111001120001 1357890257779 4073670773337 12221012320011