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12201003210 = 23511229161453
BaseRepresentation
bin10110101110011110…
…01000100011001010
31011111022100011220210
423113033020203022
5144441424100320
65334405501550
7611231546634
oct132717104312
934438304823
1012201003210
1151a116a330
1224461118b6
1311c59b0636
1483a5c1a54
154b62270e0
hex2d73c88ca

12201003210 has 64 divisors (see below), whose sum is σ = 32084138880. Its totient is φ = 2944884480.

The previous prime is 12201003203. The next prime is 12201003239. The reversal of 12201003210 is 1230010221.

12201003210 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 31 ways as a sum of consecutive naturals, for example, 5157 + ... + 156296.

It is an arithmetic number, because the mean of its divisors is an integer number (501314670).

Almost surely, 212201003210 is an apocalyptic number.

12201003210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201003210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042069440).

12201003210 is an abundant number, since it is smaller than the sum of its proper divisors (19883135670).

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

12201003210 is a wasteful number, since it uses less digits than its factorization.

12201003210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161703.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12201003210 its reverse (1230010221), we get a palindrome (13431013431).

The spelling of 12201003210 in words is "twelve billion, two hundred one million, three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 229 330 458 687 1145 1374 2290 2519 3435 5038 6870 7557 12595 15114 25190 37785 75570 161453 322906 484359 807265 968718 1614530 1775983 2421795 3551966 4843590 5327949 8879915 10655898 17759830 26639745 36972737 53279490 73945474 110918211 184863685 221836422 369727370 406700107 554591055 813400214 1109182110 1220100321 2033500535 2440200642 4067001070 6100501605 12201003210