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12224311342221 = 3113710011721001
BaseRepresentation
bin1011000111100011000110…
…1111000011010010001101
31121021122002021102221020010
42301320301233003102031
53100240342200422341
641555434320343433
72401114554656166
oct261706157032215
947248067387203
1012224311342221
11399333507a270
1214551a1174b79
136a8994677654
143039347c276d
15162eb0885716
hexb1e31bc348d

12224311342221 has 16 divisors (see below), whose sum is σ = 18261379107648. Its totient is φ = 7208439120000.

The previous prime is 12224311342213. The next prime is 12224311342223.

12224311342221 is nontrivially palindromic in base 10.

12224311342221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12224311342221 - 23 = 12224311342213 is a prime.

It is a super-4 number, since 4×122243113422214 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224311342223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5005859280 + ... + 5005861721.

It is an arithmetic number, because the mean of its divisors is an integer number (1141336194228).

Almost surely, 212224311342221 is an apocalyptic number.

12224311342221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12224311342221 is a deficient number, since it is larger than the sum of its proper divisors (6037067765427).

12224311342221 is a wasteful number, since it uses less digits than its factorization.

12224311342221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011721052.

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

It can be divided in two parts, 1222431 and 1342221, that added together give a palindrome (2564652).

The spelling of 12224311342221 in words is "twelve trillion, two hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 10011721001 30035163003 110128931011 330386793033 370433677037 1111301031111 4074770447407 12224311342221