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12241333314221 = 1123297116285667
BaseRepresentation
bin1011001000100010100001…
…0100101110001010101101
31121100021000120021201001112
42302020220110232022231
53101030222312023341
642011331344321405
72402256436231544
oct262105024561255
947307016251045
1012241333314221
11399a57a585820
121458551913265
136aa47809192b
143046ab38115b
15163659e4caeb
hexb222852e2ad

12241333314221 has 16 divisors (see below), whose sum is σ = 13939489525248. Its totient is φ = 10641054164400.

The previous prime is 12241333314191. The next prime is 12241333314227.

12241333314221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12241333314221 - 26 = 12241333314157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241333314227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7391171 + ... + 8894496.

It is an arithmetic number, because the mean of its divisors is an integer number (871218095328).

Almost surely, 212241333314221 is an apocalyptic number.

12241333314221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12241333314221 is a deficient number, since it is larger than the sum of its proper divisors (1698156211027).

12241333314221 is a wasteful number, since it uses less digits than its factorization.

12241333314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16288672.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 1224133 and 3314221, that added together give a palindrome (4538354).

The spelling of 12241333314221 in words is "twelve trillion, two hundred forty-one billion, three hundred thirty-three million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 11 23 253 2971 32681 68333 751663 16285667 179142337 374570341 4120273751 48384716657 532231883227 1112848483111 12241333314221