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12244114220 = 2251324677757
BaseRepresentation
bin10110110011100111…
…00101101100101100
31011121022110110002212
423121303211230230
5200033443123340
65342545505552
7612264153002
oct133163455454
934538413085
1012244114220
115213535268
1224586422b8
1312018c6200
14842204a72
154b9de0a65
hex2d9ce5b2c

12244114220 has 72 divisors (see below), whose sum is σ = 27905898384. Its totient is φ = 4510641408.

The previous prime is 12244114217. The next prime is 12244114229. The reversal of 12244114220 is 2241144221.

It is not an unprimeable number, because it can be changed into a prime (12244114229) 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 23 ways as a sum of consecutive naturals, for example, 1574582 + ... + 1582338.

It is an arithmetic number, because the mean of its divisors is an integer number (387581922).

Almost surely, 212244114220 is an apocalyptic number.

12244114220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12244114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952949192).

12244114220 is an abundant number, since it is smaller than the sum of its proper divisors (15661784164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12244114220 is a wasteful number, since it uses less digits than its factorization.

12244114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 12244114220 its reverse (2241144221), we get a palindrome (14485258441).

The spelling of 12244114220 in words is "twelve billion, two hundred forty-four million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 467 676 845 934 1690 1868 2335 3380 4670 6071 7757 9340 12142 15514 24284 30355 31028 38785 60710 77570 78923 100841 121420 155140 157846 201682 315692 394615 403364 504205 789230 1008410 1310933 1578460 2016820 2621866 3622519 5243732 6554665 7245038 13109330 14490076 18112595 26218660 36225190 47092747 72450380 94185494 188370988 235463735 470927470 612205711 941854940 1224411422 2448822844 3061028555 6122057110 12244114220