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12221133232011 = 311316321618689
BaseRepresentation
bin1011000111010111010001…
…0011100001011110001011
31121021022212210021012121120
42301311310103201132023
53100212340101411021
641554151110410323
72400643034325564
oct261656423413613
947238783235546
1012221133232011
113991a54118000
1214546549609a3
136a85a9101472
1430371269516b
15162d7685d2c6
hexb1d744e178b

12221133232011 has 64 divisors (see below), whose sum is σ = 18043483307520. Its totient is φ = 7357054003200.

The previous prime is 12221133232001. The next prime is 12221133232037. The reversal of 12221133232011 is 11023233112221.

It is not a de Polignac number, because 12221133232011 - 26 = 12221133231947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221133232001) 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 63 ways as a sum of consecutive naturals, for example, 1406501955 + ... + 1406510643.

It is an arithmetic number, because the mean of its divisors is an integer number (281929426680).

Almost surely, 212221133232011 is an apocalyptic number.

12221133232011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12221133232011 is a deficient number, since it is larger than the sum of its proper divisors (5822350075509).

12221133232011 is a wasteful number, since it uses less digits than its factorization.

12221133232011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12221133232011 its reverse (11023233112221), we get a palindrome (23244366344232).

The spelling of 12221133232011 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, two hundred thirty-two thousand, eleven".

Divisors: 1 3 11 33 121 163 363 489 1331 1793 2161 3993 5379 6483 8689 19723 23771 26067 59169 71313 95579 216953 261481 286737 352243 650859 784443 1051369 1056729 1416307 2876291 3154107 3874673 4248921 8628873 11565059 11624019 15579377 18776929 34695177 42621403 46738131 56330787 127864209 171373147 206546219 468835433 514119441 619638657 1406506299 1885104617 2272008409 3060639427 5655313851 6816025227 9181918281 24992092499 33667033697 74976277497 101001101091 370337370667 1111012112001 4073711077337 12221133232011