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12212122121221 = 1123491204924001
BaseRepresentation
bin1011000110110101101100…
…1100110111010000000101
31121020110121210021100110111
42301231123030313100011
53100040411230334341
641550101011153021
72400203525210551
oct261553314672005
947213553240414
1012212122121221
11398914a628100
12145295aba5771
136a77a1260b49
143030d99ca861
151629ea6d9681
hexb1b5b337405

12212122121221 has 24 divisors (see below), whose sum is σ = 13463381855000. Its totient is φ = 11068738560000.

The previous prime is 12212122121167. The next prime is 12212122121233.

12212122121221 is nontrivially palindromic in base 10.

12212122121221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2717928120996 + 9494194000225 = 1648614^2 + 3081265^2 .

It is not a de Polignac number, because 12212122121221 - 223 = 12212113732613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212122121192 and 12212122121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212122131221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508805221 + ... + 508829221.

Almost surely, 212212122121221 is an apocalyptic number.

12212122121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212122121221 is a deficient number, since it is larger than the sum of its proper divisors (1251259733779).

12212122121221 is a wasteful number, since it uses less digits than its factorization.

12212122121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36421 (or 36410 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Multiplying 12212122121221 by its sum of digits (22), we get a palindrome (268666686666862).

It can be divided in two parts, 1221212 and 2121221, that added together give a palindrome (3342433).

The spelling of 12212122121221 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 11 121 349 3839 12049 24001 42229 132539 264011 1457929 2904121 4205101 8376349 46256111 92139839 289188049 508817221 1013538229 3181068539 34991753929 100926629101 1110192920111 12212122121221