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12221041040 = 2451353221717
BaseRepresentation
bin10110110000110111…
…00100100110010000
31011112201001012122122
423120123210212100
5200012041303130
65340403153412
7611564064155
oct133033444620
934481035578
1012221041040
11520150601a
122450975868
1311c9ba8040
1483d11a22c
154b7d842e5
hex2d86e4990

12221041040 has 80 divisors (see below), whose sum is σ = 31177098288. Its totient is φ = 4427225088.

The previous prime is 12221041013. The next prime is 12221041043. The reversal of 12221041040 is 4014012221.

It can be written as a sum of positive squares in 8 ways, for example, as 89340304 + 12131700736 = 9452^2 + 110144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12221041043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55739 + ... + 165978.

Almost surely, 212221041040 is an apocalyptic number.

12221041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221041040 is an abundant number, since it is smaller than the sum of its proper divisors (18956057248).

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

12221041040 is a wasteful number, since it uses less digits than its factorization.

12221041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221796 (or 221790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12221041040 its reverse (4014012221), we get a palindrome (16235053261).

The spelling of 12221041040 in words is "twelve billion, two hundred twenty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 2120 2756 3445 4240 5512 6890 11024 13780 27560 55120 221717 443434 886868 1108585 1773736 2217170 2882321 3547472 4434340 5764642 8868680 11529284 11751001 14411605 17737360 23058568 23502002 28823210 46117136 47004004 57646420 58755005 94008008 115292840 117510010 152763013 188016016 230585680 235020020 305526026 470040040 611052052 763815065 940080080 1222104104 1527630130 2444208208 3055260260 6110520520 12221041040