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12231213221 = 101210931097
BaseRepresentation
bin10110110010000100…
…11000000010100101
31011120102012000021002
423121002120002211
5200022142310341
65341405203045
7612046411523
oct133102300245
934512160232
1012231213221
115207223587
122454260485
1311cc02a096
14840607313
154b8be329b
hex2d90980a5

12231213221 has 12 divisors (see below), whose sum is σ = 12376087236. Its totient is φ = 12088003200.

The previous prime is 12231213187. The next prime is 12231213233.

12231213221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 6376821025 + 5854392196 = 79855^2 + 76514^2 .

It is a de Polignac number, because none of the positive numbers 2k-12231213221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12231213193 and 12231213202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231213251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11149145 + ... + 11150241.

It is an arithmetic number, because the mean of its divisors is an integer number (1031340603).

Almost surely, 212231213221 is an apocalyptic number.

It is an amenable number.

12231213221 is a deficient number, since it is larger than the sum of its proper divisors (144874015).

12231213221 is a wasteful number, since it uses less digits than its factorization.

12231213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2291 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The spelling of 12231213221 in words is "twelve billion, two hundred thirty-one million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 101 1093 1097 10201 110393 110797 1199021 11149693 11190497 121101121 12231213221