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12231122113221 = 311370640064037
BaseRepresentation
bin1011000111111100011110…
…1100000101001011000101
31121022021122221002221121220
42301333013230011023011
53100343314230110341
642002522215030553
72401445415401334
oct261770754051305
947267587087556
1012231122113221
11399620a628330
12145658206b459
136a950b6c7a6b
14303dbd161d1b
1516325d771a66
hexb1fc7b052c5

12231122113221 has 8 divisors (see below), whose sum is σ = 17790723073824. Its totient is φ = 7412801280720.

The previous prime is 12231122113183. The next prime is 12231122113267.

12231122113221 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 12231122113221 - 26 = 12231122113157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12231122113191 and 12231122113200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231122113121) 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 7 ways as a sum of consecutive naturals, for example, 185320031986 + ... + 185320032051.

It is an arithmetic number, because the mean of its divisors is an integer number (2223840384228).

Almost surely, 212231122113221 is an apocalyptic number.

12231122113221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12231122113221 is a deficient number, since it is larger than the sum of its proper divisors (5559600960603).

12231122113221 is a wasteful number, since it uses less digits than its factorization.

12231122113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370640064051.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1223112 and 2113221, that added together give a palindrome (3336333).

The spelling of 12231122113221 in words is "twelve trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 11 33 370640064037 1111920192111 4077040704407 12231122113221