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12222144122221 = 111111104011111
BaseRepresentation
bin1011000111011011000010…
…0011110000110101101101
31121021102111020102202021201
42301312300203300311231
53100221422343402341
641554435301325501
72401010060624425
oct261666043606555
947242436382251
1012222144122221
1139924227a9860
121454897406891
136a870a682457
143037aaa39485
15162dd5491331
hexb1db08f0d6d

12222144122221 has 4 divisors (see below), whose sum is σ = 13333248133344. Its totient is φ = 11111040111100.

The previous prime is 12222144122161. The next prime is 12222144122291.

It is a happy number.

12222144122221 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12222144122221 - 29 = 12222144121709 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12222144122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222144122291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555552005545 + ... + 555552005566.

It is an arithmetic number, because the mean of its divisors is an integer number (3333312033336).

Almost surely, 212222144122221 is an apocalyptic number.

12222144122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222144122221 is a deficient number, since it is larger than the sum of its proper divisors (1111104011123).

12222144122221 is a wasteful number, since it uses less digits than its factorization.

12222144122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111104011122.

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

It can be divided in two parts, 1222214 and 4122221, that added together give a palindrome (5344435).

The spelling of 12222144122221 in words is "twelve trillion, two hundred twenty-two billion, one hundred forty-four million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 1111104011111 12222144122221