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12221301211011 = 335322996738567
BaseRepresentation
bin1011000111010111111001…
…0100010011111110000011
31121021100022111100102111000
42301311332110103332003
53100213211102223021
641554215511023043
72400650144166354
oct261657624237603
947240274312430
1012221301211011
11399202aa1a122
1214546a106aa83
136a8604b56919
1430372aaddd2b
15162d8648eb26
hexb1d7e513f83

12221301211011 has 64 divisors (see below), whose sum is σ = 18547443763200. Its totient is φ = 7950462968448.

The previous prime is 12221301211003. The next prime is 12221301211079. The reversal of 12221301211011 is 11011210312221.

It is a happy number.

12221301211011 is a `hidden beast` number, since 122 + 21 + 301 + 211 + 0 + 11 = 666.

It is not a de Polignac number, because 12221301211011 - 23 = 12221301211003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221301211411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316865650 + ... + 316904216.

It is an arithmetic number, because the mean of its divisors is an integer number (289803808800).

Almost surely, 212221301211011 is an apocalyptic number.

12221301211011 is a deficient number, since it is larger than the sum of its proper divisors (6326142552189).

12221301211011 is a wasteful number, since it uses less digits than its factorization.

12221301211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39825 (or 39819 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12221301211011 its reverse (11011210312221), we get a palindrome (23232511523232).

The spelling of 12221301211011 in words is "twelve trillion, two hundred twenty-one billion, three hundred one million, two hundred eleven thousand, eleven".

Divisors: 1 3 9 27 53 159 229 477 687 967 1431 2061 2901 6183 8703 12137 26109 36411 38567 51251 109233 115701 153753 221443 327699 347103 461259 664329 1041309 1383777 1992987 2044051 5978961 6132153 8831843 11736479 18396459 26495529 35209437 37294289 55189377 79486587 105628311 111882867 238459761 316884933 335648601 468087679 1006945803 1404263037 1976597317 4212789111 5929791951 8540392181 12638367333 17789375853 25621176543 53368127559 76863529629 230590588887 452640785593 1357922356779 4073767070337 12221301211011