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12224300342221 = 1123477519971373
BaseRepresentation
bin1011000111100011000100…
…0101000101101111001101
31121021122001111202002001201
42301320301011011233031
53100240331341422341
641555433244505501
72401114362323212
oct261706105055715
947248044662051
1012224300342221
113993329946860
12145519954b291
136a89922c5886
1430393315bb09
15162eae911331
hexb1e31145bcd

12224300342221 has 64 divisors (see below), whose sum is σ = 14255053111296. Its totient is φ = 10371826080000.

The previous prime is 12224300342213. The next prime is 12224300342227.

12224300342221 is nontrivially palindromic in base 10.

12224300342221 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 12224300342221 - 23 = 12224300342213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12224300342221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224300342227) 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, 8903349891 + ... + 8903351263.

It is an arithmetic number, because the mean of its divisors is an integer number (222735204864).

Almost surely, 212224300342221 is an apocalyptic number.

12224300342221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12224300342221 is a deficient number, since it is larger than the sum of its proper divisors (2030752769075).

12224300342221 is a wasteful number, since it uses less digits than its factorization.

12224300342221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 12224300 and 342221, that added together give a palindrome (12566521).

The spelling of 12224300342221 in words is "twelve trillion, two hundred twenty-four billion, three hundred million, three hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 11 23 47 253 517 751 997 1081 1373 8261 10967 11891 15103 17273 22931 31579 35297 46859 64531 190003 252241 347369 388267 515449 709841 748747 811831 1031123 1077757 1368881 1484213 8236217 8930141 11342353 11855327 15057691 16326343 17221181 23715829 31484263 35191109 48462781 64337407 189432991 260874119 346326893 387102199 533090591 707711477 809395507 1028029631 1114643963 1479760361 8903350577 11308325941 12261083593 16277363971 23644681513 48317392657 260091496643 531491319227 1111300031111 12224300342221