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12105121900 = 2252234751577
BaseRepresentation
bin10110100011000010…
…11000000001101100
31011020121220220111011
423101201120001230
5144242402400100
65321102435004
7605655560404
oct132141300154
934217826434
1012105121900
115152031283
122419b92a64
1311abb7c731
1482b983804
154acad7bba
hex2d185806c

12105121900 has 36 divisors (see below), whose sum is σ = 26279816248. Its totient is φ = 4839891840.

The previous prime is 12105121883. The next prime is 12105121907. The reversal of 12105121900 is 912150121.

It is a super-2 number, since 2×121051219002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12105121907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208912 + ... + 260488.

Almost surely, 212105121900 is an apocalyptic number.

12105121900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105121900 is an abundant number, since it is smaller than the sum of its proper divisors (14174694348).

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

12105121900 is a wasteful number, since it uses less digits than its factorization.

12105121900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53938 (or 53931 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 12105121900 in words is "twelve billion, one hundred five million, one hundred twenty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2347 4694 9388 11735 23470 46940 51577 58675 103154 117350 206308 234700 257885 515770 1031540 1289425 2578850 5157700 121051219 242102438 484204876 605256095 1210512190 2421024380 3026280475 6052560950 12105121900