Search a number
-
+
12221422412221 = 111361816339751
BaseRepresentation
bin1011000111011000010110…
…0010101010000110111101
31121021100121221102002021201
42301312011202222012331
53100213433114142341
641554235520455501
72400653145322561
oct261660542520675
947240557362251
1012221422412221
113992092381410
12145471577a591
136a8623cb1509
1430373cc4d6a1
15162d91e31331
hexb1d858aa1bd

12221422412221 has 8 divisors (see below), whose sum is σ = 13342256906688. Its totient is φ = 11102220600000.

The previous prime is 12221422412179. The next prime is 12221422412233.

It is a happy number.

12221422412221 is nontrivially palindromic in base 10.

12221422412221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12221422412221 - 27 = 12221422412093 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 12221422412221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221422712221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408154905 + ... + 408184846.

It is an arithmetic number, because the mean of its divisors is an integer number (1667782113336).

Almost surely, 212221422412221 is an apocalyptic number.

12221422412221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221422412221 is a deficient number, since it is larger than the sum of its proper divisors (1120834494467).

12221422412221 is a wasteful number, since it uses less digits than its factorization.

12221422412221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816341123.

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

It can be divided in two parts, 1222142 and 2412221, that added together give a palindrome (3634363).

The spelling of 12221422412221 in words is "twelve trillion, two hundred twenty-one billion, four hundred twenty-two million, four hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 1361 14971 816339751 8979737261 1111038401111 12221422412221