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12220130320 = 245152751629
BaseRepresentation
bin10110110000110000…
…00110010000010000
31011112122022221101021
423120120012100100
5200011323132240
65340331445224
7611553252046
oct133030062020
934478287337
1012220130320
115200a43862
1224505b6814
1311c9949658
1483cd60396
154b7c5454a
hex2d8606410

12220130320 has 20 divisors (see below), whose sum is σ = 28411803180. Its totient is φ = 4888052096.

The previous prime is 12220130303. The next prime is 12220130333. The reversal of 12220130320 is 2303102221.

It can be written as a sum of positive squares in 2 ways, for example, as 2757510144 + 9462620176 = 52512^2 + 97276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12220130294 and 12220130303.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 76375735 + ... + 76375894.

It is an arithmetic number, because the mean of its divisors is an integer number (1420590159).

Almost surely, 212220130320 is an apocalyptic number.

12220130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220130320 is an abundant number, since it is smaller than the sum of its proper divisors (16191672860).

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

12220130320 is a wasteful number, since it uses less digits than its factorization.

12220130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152751642 (or 152751636 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12220130320 its reverse (2303102221), we get a palindrome (14523232541).

The spelling of 12220130320 in words is "twelve billion, two hundred twenty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152751629 305503258 611006516 763758145 1222013032 1527516290 2444026064 3055032580 6110065160 12220130320