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12211012220 = 22511317324527
BaseRepresentation
bin10110101111101010…
…10100001001111100
31011112000011200200212
423113311110021330
5200002004342340
65335404211552
7611412614501
oct132765241174
934460150625
1012211012220
1151a6886240
122449539bb8
1311c7aa6324
1483ba694a8
154b7052a65
hex2d7d5427c

12211012220 has 96 divisors (see below), whose sum is σ = 29273481216. Its totient is φ = 4238092800.

The previous prime is 12211012217. The next prime is 12211012241. The reversal of 12211012220 is 2221011221.

It is a junction number, because it is equal to n+sod(n) for n = 12211012195 and 12211012204.

It is a congruent number.

It is an unprimeable number.

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, 485597 + ... + 510123.

It is an arithmetic number, because the mean of its divisors is an integer number (304932096).

Almost surely, 212211012220 is an apocalyptic number.

12211012220 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 12211012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636740608).

12211012220 is an abundant number, since it is smaller than the sum of its proper divisors (17062468996).

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

12211012220 is a wasteful number, since it uses less digits than its factorization.

12211012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24651 (or 24649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12211012220 its reverse (2221011221), we get a palindrome (14432023441).

Subtracting from 12211012220 its reverse (2221011221), we obtain a palindrome (9990000999).

The spelling of 12211012220 in words is "twelve billion, two hundred eleven million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 73 110 124 146 155 220 292 310 341 365 620 682 730 803 1364 1460 1606 1705 2263 3212 3410 4015 4526 6820 8030 9052 11315 16060 22630 24527 24893 45260 49054 49786 98108 99572 122635 124465 245270 248930 269797 490540 497860 539594 760337 1079188 1348985 1520674 1790471 2697970 3041348 3580942 3801685 5395940 7161884 7603370 8363707 8952355 15206740 16727414 17904710 19695181 33454828 35809420 39390362 41818535 55504601 78780724 83637070 98475905 111009202 167274140 196951810 222018404 277523005 393903620 555046010 610550611 1110092020 1221101222 2442202444 3052753055 6105506110 12211012220