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12210010310020 = 22519433592081467
BaseRepresentation
bin1011000110101101110101…
…0100111100010110000100
31121020021011121112020002211
42301223131110330112010
53100022100114410040
641545111251513204
72400100303131565
oct261533524742604
947207147466084
1012210010310020
113988266562096
12145246b8b8804
136a7525898c13
14302d7934816c
151629250dc8ea
hexb1add53c584

12210010310020 has 96 divisors (see below), whose sum is σ = 27695180620800. Its totient is φ = 4506756879744.

The previous prime is 12210010310011. The next prime is 12210010310021. The reversal of 12210010310020 is 2001301001221.

12210010310020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12210010310021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4825327 + ... + 6906793.

It is an arithmetic number, because the mean of its divisors is an integer number (288491464800).

Almost surely, 212210010310020 is an apocalyptic number.

12210010310020 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 12210010310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847590310400).

12210010310020 is an abundant number, since it is smaller than the sum of its proper divisors (15485170310780).

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

12210010310020 is a wasteful number, since it uses less digits than its factorization.

12210010310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081897 (or 2081895 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12210010310020 its reverse (2001301001221), we get a palindrome (14211311311241).

The spelling of 12210010310020 in words is "twelve trillion, two hundred ten billion, ten million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 359 380 430 718 817 860 1436 1634 1795 3268 3590 4085 6821 7180 8170 13642 15437 16340 27284 30874 34105 61748 68210 77185 136420 154370 293303 308740 586606 1173212 1466515 2081467 2933030 4162934 5866060 8325868 10407335 20814670 39547873 41629340 79095746 89503081 158191492 179006162 197739365 358012324 395478730 447515405 747246653 790957460 895030810 1494493306 1700558539 1790061620 2988986612 3401117078 3736233265 6802234156 7472466530 8502792695 14197686407 14944933060 17005585390 28395372814 32131606079 34011170780 56790745628 64263212158 70988432035 128526424316 141976864070 160658030395 283953728140 321316060790 610500515501 642632121580 1221001031002 2442002062004 3052502577505 6105005155010 12210010310020