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12211030320 = 243550879293
BaseRepresentation
bin10110101111101010…
…11000100100110000
31011112000012121112020
423113311120210300
5200002010432240
65335404431440
7611413021326
oct132765304460
934460177466
1012211030320
1151a68988a5
122449548580
1311c7ab1638
1483ba71d16
154b70580d0
hex2d7d58930

12211030320 has 40 divisors (see below), whose sum is σ = 37854194736. Its totient is φ = 3256274688.

The previous prime is 12211030313. The next prime is 12211030331. The reversal of 12211030320 is 2303011221.

12211030320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×122110303203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211030320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25439407 + ... + 25439886.

Almost surely, 212211030320 is an apocalyptic number.

12211030320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211030320 is an abundant number, since it is smaller than the sum of its proper divisors (25643164416).

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

12211030320 is a wasteful number, since it uses less digits than its factorization.

12211030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50879309 (or 50879303 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12211030320 its reverse (2303011221), we get a palindrome (14514041541).

The spelling of 12211030320 in words is "twelve billion, two hundred eleven million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50879293 101758586 152637879 203517172 254396465 305275758 407034344 508792930 610551516 763189395 814068688 1017585860 1221103032 1526378790 2035171720 2442206064 3052757580 4070343440 6105515160 12211030320