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12223002720 = 2535178111847
BaseRepresentation
bin10110110001000110…
…00011100001100000
31011112211201212120110
423120203003201200
5200013042041340
65340513211320
7611616544305
oct133043034140
934484655513
1012223002720
115202625945
122451560b40
1311ca413bb6
1483d4ab0ac
154b8120680
hex2d88c3860

12223002720 has 192 divisors, whose sum is σ = 40839676416. Its totient is φ = 3062292480.

The previous prime is 12223002709. The next prime is 12223002721. The reversal of 12223002720 is 2720032221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223002721) 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 31 ways as a sum of consecutive naturals, for example, 6616837 + ... + 6618683.

It is an arithmetic number, because the mean of its divisors is an integer number (212706648).

Almost surely, 212223002720 is an apocalyptic number.

12223002720 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 12223002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20419838208).

12223002720 is an abundant number, since it is smaller than the sum of its proper divisors (28616673696).

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

12223002720 is a wasteful number, since it uses less digits than its factorization.

12223002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 12223002720 its reverse (2720032221), we get a palindrome (14943034941).

The spelling of 12223002720 in words is "twelve billion, two hundred twenty-three million, two thousand, seven hundred twenty".