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12221110020 = 2235766144021
BaseRepresentation
bin10110110000110111…
…10101011100000100
31011112201011201021110
423120123311130010
5200012101010040
65340404445020
7611564502240
oct133033653404
934481151243
1012221110020
115201552929
1224509a9770
1311c9c00562
1483d137420
154b7d99980
hex2d86f5704

12221110020 has 96 divisors (see below), whose sum is σ = 39167606016. Its totient is φ = 2789107200.

The previous prime is 12221109977. The next prime is 12221110021. The reversal of 12221110020 is 2001112221.

12221110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12221109978 and 12221110005.

It is not an unprimeable number, because it can be changed into a prime (12221110021) 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, 255610 + ... + 299630.

It is an arithmetic number, because the mean of its divisors is an integer number (407995896).

Almost surely, 212221110020 is an apocalyptic number.

12221110020 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 12221110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583803008).

12221110020 is an abundant number, since it is smaller than the sum of its proper divisors (26946495996).

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

12221110020 is a wasteful number, since it uses less digits than its factorization.

12221110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44701 (or 44699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221110020 its reverse (2001112221), we get a palindrome (14222222241).

It can be divided in two parts, 122211 and 10020, that added together give a palindrome (132231).

The spelling of 12221110020 in words is "twelve billion, two hundred twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 661 1322 1983 2644 3305 3966 4627 6610 7932 9254 9915 13220 13881 18508 19830 23135 27762 39660 44021 46270 55524 69405 88042 92540 132063 138810 176084 220105 264126 277620 308147 440210 528252 616294 660315 880420 924441 1232588 1320630 1540735 1848882 2641260 3081470 3697764 4622205 6162940 9244410 18488820 29097881 58195762 87293643 116391524 145489405 174587286 203685167 290978810 349174572 407370334 436468215 581957620 611055501 814740668 872936430 1018425835 1222111002 1745872860 2036851670 2444222004 3055277505 4073703340 6110555010 12221110020