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12222354560 = 275132322777
BaseRepresentation
bin10110110001000001…
…00101010010000000
31011112210111221110112
423120200211102000
5200012410321220
65340451250452
7611611204523
oct133040452200
934483457415
1012222354560
115202222979
1224512a9a28
1311ca247b80
1483d37cbba
154b80435c5
hex2d8825480

12222354560 has 192 divisors, whose sum is σ = 32906132280. Its totient is φ = 4315103232.

The previous prime is 12222354503. The next prime is 12222354563. The reversal of 12222354560 is 6545322221.

It can be written as a sum of positive squares in 4 ways, for example, as 5336010304 + 6886344256 = 73048^2 + 82984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12222354563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4399892 + ... + 4402668.

Almost surely, 212222354560 is an apocalyptic number.

12222354560 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 12222354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16453066140).

12222354560 is an abundant number, since it is smaller than the sum of its proper divisors (20683777720).

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

12222354560 is a wasteful number, since it uses less digits than its factorization.

12222354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 12222354560 its reverse (6545322221), we get a palindrome (18767676781).

The spelling of 12222354560 in words is "twelve billion, two hundred twenty-two million, three hundred fifty-four thousand, five hundred sixty".