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12221244212221 = 1173137111091111
BaseRepresentation
bin1011000111010111101011…
…1010111000001111111101
31121021100011112002120211201
42301311322322320033331
53100213102004242341
641554210113215501
72400645552542212
oct261657272701775
947240145076751
1012221244212221
113992000829090
121454685b61591
136a85c60baa25
14303723303b09
15162d81481331
hexb1d7aeb83fd

12221244212221 has 16 divisors (see below), whose sum is σ = 13613549228928. Its totient is φ = 10878041491200.

The previous prime is 12221244212123. The next prime is 12221244212231.

It is a happy number.

12221244212221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12221244212221 - 229 = 12220707341309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12221244212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221244212231) 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, 55435545 + ... + 55655566.

It is an arithmetic number, because the mean of its divisors is an integer number (850846826808).

Almost surely, 212221244212221 is an apocalyptic number.

12221244212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221244212221 is a deficient number, since it is larger than the sum of its proper divisors (1392305016707).

12221244212221 is a wasteful number, since it uses less digits than its factorization.

12221244212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111091332.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 1222124 and 4212221, that added together give a palindrome (5434345).

The spelling of 12221244212221 in words is "twelve trillion, two hundred twenty-one billion, two hundred forty-four million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 73 137 803 1507 10001 110011 111091111 1222002221 8109651103 15219482207 89206162133 167414304277 1111022201111 12221244212221