Search a number
-
+
12200009960 = 235476489367
BaseRepresentation
bin10110101110010110…
…10110000011101000
31011111020110201102202
423113023112003220
5144441200304320
65334332315332
7611220242105
oct132713260350
934436421382
1012200009960
1151a0651066
122445912b48
1311c5723508
1483a403aac
154b60ccb75
hex2d72d60e8

12200009960 has 32 divisors (see below), whose sum is σ = 28034069760. Its totient is φ = 4776173376.

The previous prime is 12200009959. The next prime is 12200010001. The reversal of 12200009960 is 6990000221.

12200009960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3242804 + ... + 3246563.

It is an arithmetic number, because the mean of its divisors is an integer number (876064680).

Almost surely, 212200009960 is an apocalyptic number.

12200009960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200009960 is an abundant number, since it is smaller than the sum of its proper divisors (15834059800).

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

12200009960 is a wasteful number, since it uses less digits than its factorization.

12200009960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489425 (or 6489421 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 12200009960 in words is "twelve billion, two hundred million, nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 6489367 12978734 25957468 32446835 51914936 64893670 129787340 259574680 305000249 610000498 1220000996 1525001245 2440001992 3050002490 6100004980 12200009960