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12104103220 = 225111071673079
BaseRepresentation
bin10110100010111010…
…11111010100110100
31011020120000011010021
423101131133110310
5144242122300340
65321024534524
7605644115446
oct132135372464
934216004107
1012104103220
1151514a59a0
122419781444
1311ab8b3b71
1482b79a496
154ac985e4a
hex2d175f534

12104103220 has 96 divisors (see below), whose sum is σ = 28165294080. Its totient is φ = 4332839040.

The previous prime is 12104103191. The next prime is 12104103223. The reversal of 12104103220 is 2230140121.

It is a junction number, because it is equal to n+sod(n) for n = 12104103194 and 12104103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12104103223) 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, 3929641 + ... + 3932719.

It is an arithmetic number, because the mean of its divisors is an integer number (293388480).

Almost surely, 212104103220 is an apocalyptic number.

12104103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12104103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14082647040).

12104103220 is an abundant number, since it is smaller than the sum of its proper divisors (16061190860).

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

12104103220 is a wasteful number, since it uses less digits than its factorization.

12104103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12104103220 its reverse (2230140121), we get a palindrome (14334243341).

The spelling of 12104103220 in words is "twelve billion, one hundred four million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 167 214 220 334 428 535 668 835 1070 1177 1670 1837 2140 2354 3079 3340 3674 4708 5885 6158 7348 9185 11770 12316 15395 17869 18370 23540 30790 33869 35738 36740 61580 67738 71476 89345 135476 169345 178690 196559 329453 338690 357380 393118 514193 658906 677380 786236 982795 1028386 1317812 1647265 1965590 2056772 2570965 3294530 3623983 3931180 5141930 5656123 6589060 7247966 10283860 11312246 14495932 18119915 22624492 28280615 36239830 55018651 56561230 72479660 110037302 113122460 220074604 275093255 550186510 605205161 1100373020 1210410322 2420820644 3026025805 6052051610 12104103220