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12011043220 = 225112101157313
BaseRepresentation
bin10110010111110100…
…11111100110010100
31011000001220012210121
423023322133212110
5144044311340340
65303502201324
7603434116501
oct131372374624
934001805717
1012011043220
115103a14600
1223b2583244
131195530187
1481d2944a8
154a470294a
hex2cbe9f994

12011043220 has 144 divisors (see below), whose sum is σ = 28267528464. Its totient is φ = 4283136000.

The previous prime is 12011043181. The next prime is 12011043281. The reversal of 12011043220 is 2234011021.

It can be written as a sum of positive squares in 8 ways, for example, as 663680644 + 11347362576 = 25762^2 + 106524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12011043194 and 12011043203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38373784 + ... + 38374096.

It is an arithmetic number, because the mean of its divisors is an integer number (196302281).

Almost surely, 212011043220 is an apocalyptic number.

12011043220 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 12011043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14133764232).

12011043220 is an abundant number, since it is smaller than the sum of its proper divisors (16256485244).

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

12011043220 is a wasteful number, since it uses less digits than its factorization.

12011043220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12011043220 its reverse (2234011021), we get a palindrome (14245054241).

The spelling of 12011043220 in words is "twelve billion, eleven million, forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 157 202 220 242 313 314 404 484 505 605 626 628 785 1010 1111 1210 1252 1565 1570 1727 2020 2222 2420 3130 3140 3443 3454 4444 5555 6260 6886 6908 8635 11110 12221 13772 15857 17215 17270 18997 22220 24442 31613 31714 34430 34540 37873 37994 48884 49141 61105 63226 63428 68860 75746 75988 79285 94985 98282 122210 126452 151492 158065 158570 174427 189365 189970 196564 244420 245705 316130 317140 347743 348854 378730 379940 491410 540551 632260 695486 697708 757460 872135 982820 1081102 1390972 1738715 1744270 1918697 2162204 2702755 3477430 3488540 3825173 3837394 4963241 5405510 5946061 6954860 7650346 7674788 9593485 9926482 10811020 11892122 15300692 19125865 19186970 19852964 23784244 24816205 29730305 38251730 38373940 49632410 54595651 59460610 76503460 99264820 109191302 118921220 218382604 272978255 545956510 600552161 1091913020 1201104322 2402208644 3002760805 6005521610 12011043220