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12221312221 = 1915721119417
BaseRepresentation
bin10110110000111001…
…00110110011011101
31011112201112222122101
423120130212303131
5200012123442341
65340413045101
7611566303606
oct133034466335
934481488571
1012221312221
115201680838
122450a86791
1311c9c715c1
1483d18adad
154b7dd9831
hex2d8726cdd

12221312221 has 16 divisors (see below), whose sum is σ = 13008506560. Its totient is φ = 11449226880.

The previous prime is 12221312161. The next prime is 12221312227.

12221312221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12221312221 - 211 = 12221310173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221312227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619705 + ... + 639121.

It is an arithmetic number, because the mean of its divisors is an integer number (813031660).

Almost surely, 212221312221 is an apocalyptic number.

It is an amenable number.

12221312221 is a deficient number, since it is larger than the sum of its proper divisors (787194339).

12221312221 is a wasteful number, since it uses less digits than its factorization.

12221312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19804.

The product of its digits is 192, while the sum is 19.

Multiplying 12221312221 by its product of digits (192), we get a palindrome (2346491946432).

The spelling of 12221312221 in words is "twelve billion, two hundred twenty-one million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 19 157 211 2983 4009 19417 33127 368923 629413 3048469 4096987 57920911 77842753 643226959 12221312221