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12231222213221 = 112617012363941
BaseRepresentation
bin1011000111111100110110…
…1001111011101001100101
31121022021220220110120000022
42301333031221323221211
53100344020341310341
642002540152324525
72401451042261144
oct261771551735145
947267826416008
1012231222213221
113996261087a00
1214565ab6a3745
136a9526374c2b
14303dcc57b75b
15163267445e4b
hexb1fcda7ba65

12231222213221 has 24 divisors (see below), whose sum is σ = 13684132143864. Its totient is φ = 10921402800000.

The previous prime is 12231222213163. The next prime is 12231222213239.

12231222213221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 23291032996 + 12207931180225 = 152614^2 + 3493985^2 .

It is a de Polignac number, because none of the positive numbers 2k-12231222213221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231222213271) 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, 3992111 + ... + 6356051.

It is an arithmetic number, because the mean of its divisors is an integer number (570172172661).

Almost surely, 212231222213221 is an apocalyptic number.

12231222213221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12231222213221 is a deficient number, since it is larger than the sum of its proper divisors (1452909930643).

12231222213221 is a wasteful number, since it uses less digits than its factorization.

12231222213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364725 (or 2364714 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 1223122 and 2213221, that added together give a palindrome (3436343).

The spelling of 12231222213221 in words is "twelve trillion, two hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 11 61 121 671 701 7381 7711 42761 84821 470371 2363941 5174081 26003351 144200401 286036861 1586204411 1657122641 17448248521 18228349051 101084481101 200511839561 1111929292111 12231222213221