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12001230220 = 2257193541821
BaseRepresentation
bin10110010110101010…
…00011110110001100
31010222101102122220011
423023111003312030
5144034303331340
65302512003004
7603254526250
oct131325036614
933871378804
1012001230220
1150a9421991
1223ab230464
1311934a5775
1481bc5c260
154a39150ea
hex2cb543d8c

12001230220 has 96 divisors (see below), whose sum is σ = 29041036416. Its totient is φ = 4080844800.

The previous prime is 12001230173. The next prime is 12001230221. The reversal of 12001230220 is 2203210021.

12001230220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12001230220.

It is not an unprimeable number, because it can be changed into a prime (12001230221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14617410 + ... + 14618230.

It is an arithmetic number, because the mean of its divisors is an integer number (302510796).

Almost surely, 212001230220 is an apocalyptic number.

12001230220 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 12001230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520518208).

12001230220 is an abundant number, since it is smaller than the sum of its proper divisors (17039806196).

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

12001230220 is a wasteful number, since it uses less digits than its factorization.

12001230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12001230220 its reverse (2203210021), we get a palindrome (14204440241).

The spelling of 12001230220 in words is "twelve billion, one million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 541 772 821 965 1082 1351 1642 1930 2164 2702 2705 3284 3787 3860 4105 5404 5410 5747 6755 7574 8210 10820 11494 13510 15148 16420 18935 22988 27020 28735 37870 57470 75740 104413 114940 158453 208826 316906 417652 444161 522065 633812 730891 792265 888322 1044130 1109171 1461782 1584530 1776644 2088260 2218342 2220805 2923564 3109127 3169060 3654455 4436684 4441610 5545855 6218254 7308910 8883220 11091710 12436508 14617820 15545635 22183420 31091270 62182540 85723073 171446146 342892292 428615365 600061511 857230730 1200123022 1714461460 2400246044 3000307555 6000615110 12001230220