Search a number
-
+
12222122122221 = 3111013667003337
BaseRepresentation
bin1011000111011010111100…
…1111110101101111101101
31121021102102201001000221220
42301312233033311233231
53100221401230402341
641554433154013553
72401006402625454
oct261665717655755
947242381030856
1012222122122221
113992411342940
12145488bb772b9
136a8705c4b8bb
143037a7b4db9b
15162dd3597a66
hexb1daf3f5bed

12222122122221 has 16 divisors (see below), whose sum is σ = 17953648342848. Its totient is φ = 7334006672000.

The previous prime is 12222122122187. The next prime is 12222122122237.

It is a happy number.

12222122122221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12222122122221 - 210 = 12222122121197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12222122122191 and 12222122122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222122122121) 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, 1833498336 + ... + 1833505001.

It is an arithmetic number, because the mean of its divisors is an integer number (1122103021428).

Almost surely, 212222122122221 is an apocalyptic number.

12222122122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222122122221 is a deficient number, since it is larger than the sum of its proper divisors (5731526220627).

12222122122221 is a wasteful number, since it uses less digits than its factorization.

12222122122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667003452.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 1222212 and 2122221, that added together give a palindrome (3344433).

The spelling of 12222122122221 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 3667003337 11001010011 40337036707 121011110121 370367337037 1111102011111 4074040707407 12222122122221