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12223120 = 2457132373
BaseRepresentation
bin101110101000…
…001010010000
3211222222222011
4232220022100
511112114440
61113552304
7205615630
oct56501220
924888864
1012223120
116999458
124115694
1326bc720
1418a26c0
1511169ea
hexba8290

12223120 has 160 divisors (see below), whose sum is σ = 36997632. Its totient is φ = 3649536.

The previous prime is 12223109. The next prime is 12223139. The reversal of 12223120 is 2132221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12223120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167404 + ... + 167476.

Almost surely, 212223120 is an apocalyptic number.

12223120 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 12223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498816).

12223120 is an abundant number, since it is smaller than the sum of its proper divisors (24774512).

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

12223120 is a wasteful number, since it uses less digits than its factorization.

12223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12223120 is about 3496.1578911714. The cubic root of 12223120 is about 230.3530808845.

Adding to 12223120 its reverse (2132221), we get a palindrome (14355341).

The spelling of 12223120 in words is "twelve million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 23 26 28 35 40 46 52 56 65 70 73 80 91 92 104 112 115 130 140 146 161 182 184 208 230 260 280 292 299 322 364 365 368 455 460 511 520 560 584 598 644 728 730 805 910 920 949 1022 1040 1168 1196 1288 1456 1460 1495 1610 1679 1820 1840 1898 2044 2093 2392 2555 2576 2920 2990 3220 3358 3640 3796 4088 4186 4745 4784 5110 5840 5980 6440 6643 6716 7280 7592 8176 8372 8395 9490 10220 10465 11753 11960 12880 13286 13432 15184 16744 16790 18980 20440 20930 21827 23506 23920 26572 26864 33215 33488 33580 37960 40880 41860 43654 47012 53144 58765 66430 67160 75920 83720 87308 94024 106288 109135 117530 132860 134320 152789 167440 174616 188048 218270 235060 265720 305578 349232 436540 470120 531440 611156 763945 873080 940240 1222312 1527890 1746160 2444624 3055780 6111560 12223120