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12220522336 = 2511160921577
BaseRepresentation
bin10110110000110011…
…00101111101100000
31011112200001212010101
423120121211331200
5200011423203321
65340344112144
7611556504001
oct133031457540
934480055111
1012220522336
115201191340
122450765654
1311c9a55c09
1483d0231a8
154b7cd0791
hex2d8665f60

12220522336 has 48 divisors (see below), whose sum is σ = 26263878480. Its totient is φ = 5551073280.

The previous prime is 12220522333. The next prime is 12220522373. The reversal of 12220522336 is 63322502221.

It is a happy number.

12220522336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220522331) by changing a digit.

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, 555580 + ... + 577156.

It is an arithmetic number, because the mean of its divisors is an integer number (547164135).

Almost surely, 212220522336 is an apocalyptic number.

12220522336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12220522336 is an abundant number, since it is smaller than the sum of its proper divisors (14043356144).

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

12220522336 is a wasteful number, since it uses less digits than its factorization.

12220522336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23207 (or 23199 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 12220522336 in words is "twelve billion, two hundred twenty million, five hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1609 3218 6436 12872 17699 21577 25744 35398 43154 51488 70796 86308 141592 172616 237347 283184 345232 474694 566368 690464 949388 1898776 3797552 7595104 34717393 69434786 138869572 277739144 381891323 555478288 763782646 1110956576 1527565292 3055130584 6110261168 12220522336