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12010221120 = 263526347569
BaseRepresentation
bin10110010111101110…
…10110111001000000
31011000000100110002110
423023313112321000
5144044104033440
65303432415320
7603424123632
oct131367267100
934000313073
1012010221120
115103502987
1223b2247540
131195302c21
1481d11ca52
154a45de080
hex2cbdd6e40

12010221120 has 112 divisors (see below), whose sum is σ = 38278247040. Its totient is φ = 3190480896.

The previous prime is 12010221079. The next prime is 12010221151. The reversal of 12010221120 is 2112201021.

It is a super-2 number, since 2×120102211202 (a number of 21 digits) contains 22 as substring.

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 = 12010221096 and 12010221105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228696 + ... + 276264.

Almost surely, 212010221120 is an apocalyptic number.

12010221120 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 12010221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139123520).

12010221120 is an abundant number, since it is smaller than the sum of its proper divisors (26268025920).

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

12010221120 is a wasteful number, since it uses less digits than its factorization.

12010221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47852 (or 47842 counting only the distinct ones).

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

Adding to 12010221120 its reverse (2112201021), we get a palindrome (14122422141).

The spelling of 12010221120 in words is "twelve billion, ten million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 263 320 480 526 789 960 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 8416 10520 12624 15780 16832 21040 25248 31560 42080 47569 50496 63120 84160 95138 126240 142707 190276 237845 252480 285414 380552 475690 570828 713535 761104 951380 1141656 1427070 1522208 1902760 2283312 2854140 3044416 3805520 4566624 5708280 7611040 9133248 11416560 12510647 15222080 22833120 25021294 37531941 45666240 50042588 62553235 75063882 100085176 125106470 150127764 187659705 200170352 250212940 300255528 375319410 400340704 500425880 600511056 750638820 800681408 1000851760 1201022112 1501277640 2001703520 2402044224 3002555280 4003407040 6005110560 12010221120