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12241233214221 = 3111788724600203
BaseRepresentation
bin1011001000100010001001…
…0110110111101100001101
31121100020202120221002200010
42302020202112313230031
53101030021200323341
642011313411023433
72402254112342034
oct262104226675415
947306676832603
1012241233214221
11399a529026150
12145852429ab79
136aa46041476b
1430469bd6571b
15163651278716
hexb22225b7b0d

12241233214221 has 32 divisors (see below), whose sum is σ = 18874063715328. Its totient is φ = 6974649271040.

The previous prime is 12241233214183. The next prime is 12241233214229.

12241233214221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12241233214221 - 210 = 12241233213197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241233214229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11802495 + ... + 12797708.

It is an arithmetic number, because the mean of its divisors is an integer number (589814491104).

Almost surely, 212241233214221 is an apocalyptic number.

12241233214221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12241233214221 is a deficient number, since it is larger than the sum of its proper divisors (6632830501107).

12241233214221 is a wasteful number, since it uses less digits than its factorization.

12241233214221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24601121.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1224123 and 3214221, that added together give a palindrome (4438344).

The spelling of 12241233214221 in words is "twelve trillion, two hundred forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 887 2661 9757 15079 29271 45237 165869 497607 24600203 73800609 270602233 418203451 811806699 1254610353 4600237961 13800713883 21820380061 65461140183 240024180671 370946461037 720072542013 1112839383111 4080411071407 12241233214221