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12109708900 = 2252192335449
BaseRepresentation
bin10110100011100101…
…10111111001100100
31011020221112221200001
423101302313321210
5144300041141100
65321345031044
7606042553522
oct132162677144
934227487601
1012109708900
115154684593
12241b625484
1311acac7533
1482c419312
154ad1e1d6a
hex2d1cb7e64

12109708900 has 54 divisors (see below), whose sum is σ = 27733999650. Its totient is φ = 4588928640.

The previous prime is 12109708883. The next prime is 12109708903. The reversal of 12109708900 is 980790121.

It can be written as a sum of positive squares in 3 ways, for example, as 232196644 + 11877512256 = 15238^2 + 108984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12109708900.

It is not an unprimeable number, because it can be changed into a prime (12109708903) 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 17 ways as a sum of consecutive naturals, for example, 131625 + ... + 203824.

Almost surely, 212109708900 is an apocalyptic number.

12109708900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12109708900 is an abundant number, since it is smaller than the sum of its proper divisors (15624290750).

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

12109708900 is a wasteful number, since it uses less digits than its factorization.

12109708900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335501 (or 335475 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 12109708900 in words is "twelve billion, one hundred nine million, seven hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 7220 9025 18050 36100 335449 670898 1341796 1677245 3354490 6373531 6708980 8386225 12747062 16772450 25494124 31867655 33544900 63735310 121097089 127470620 159338275 242194178 318676550 484388356 605485445 637353100 1210970890 2421941780 3027427225 6054854450 12109708900