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12221211220 = 2253189241919
BaseRepresentation
bin10110110000111000…
…01110001001010100
31011112201100212002121
423120130032021110
5200012112224340
65340410545324
7611565403261
oct133034161124
934481325077
1012221211220
115201611969
122450a38244
1311c9c3763a
1483d162268
154b7db994a
hex2d870e254

12221211220 has 96 divisors (see below), whose sum is σ = 26930534400. Its totient is φ = 4653158400.

The previous prime is 12221211203. The next prime is 12221211227. The reversal of 12221211220 is 2211212221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12221211194 and 12221211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221211227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13297921 + ... + 13298839.

It is an arithmetic number, because the mean of its divisors is an integer number (280526400).

Almost surely, 212221211220 is an apocalyptic number.

12221211220 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 12221211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465267200).

12221211220 is an abundant number, since it is smaller than the sum of its proper divisors (14709323180).

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

12221211220 is a wasteful number, since it uses less digits than its factorization.

12221211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221211220 its reverse (2211212221), we get a palindrome (14432423441).

The spelling of 12221211220 in words is "twelve billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 241 310 356 445 482 620 890 919 964 1205 1780 1838 2410 2759 3676 4595 4820 5518 7471 9190 11036 13795 14942 18380 21449 27590 28489 29884 37355 42898 55180 56978 74710 81791 85796 107245 113956 142445 149420 163582 214490 221479 284890 327164 408955 428980 442958 569780 664919 817910 885916 1107395 1329838 1635820 2214790 2535521 2659676 3324595 4429580 5071042 6649190 6865849 10142084 12677605 13298380 13731698 19711631 25355210 27463396 34329245 39423262 50710420 68658490 78846524 98558155 137316980 197116310 394232620 611060561 1222121122 2444242244 3055302805 6110605610 12221211220