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12105504222 = 2374364110457
BaseRepresentation
bin10110100011000101…
…10101010111011110
31011020122122022221020
423101202311113132
5144243002113342
65321114545010
7605662042140
oct132142652736
934218568836
1012105504222
115152272549
12241a138166
1311abc84766
1482ba42c90
154acb610ec
hex2d18b55de

12105504222 has 64 divisors (see below), whose sum is σ = 28360088064. Its totient is φ = 3372687360.

The previous prime is 12105504221. The next prime is 12105504227. The reversal of 12105504222 is 22240550121.

It is a junction number, because it is equal to n+sod(n) for n = 12105504192 and 12105504201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105504221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152418 + ... + 1162874.

It is an arithmetic number, because the mean of its divisors is an integer number (443126376).

Almost surely, 212105504222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12105504222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14180044032).

12105504222 is an abundant number, since it is smaller than the sum of its proper divisors (16254583842).

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

12105504222 is a wasteful number, since it uses less digits than its factorization.

12105504222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153.

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 12105504222 in words is "twelve billion, one hundred five million, five hundred four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 641 903 1282 1806 1923 3846 4487 8974 10457 13461 20914 26922 27563 31371 55126 62742 73199 82689 146398 165378 192941 219597 385882 439194 449651 578823 899302 1157646 1348953 2697906 3147557 6295114 6702937 9442671 13405874 18885342 20108811 40217622 46920559 93841118 140761677 281523354 288226291 576452582 864678873 1729357746 2017584037 4035168074 6052752111 12105504222