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12222720 = 283251061
BaseRepresentation
bin101110101000…
…000100000000
3211222222102100
4232220010000
511112111340
61113550400
7205614516
oct56500400
924888370
1012222720
116999124
124115400
1326bc4a3
1418a24b6
151116830
hexba8100

12222720 has 108 divisors (see below), whose sum is σ = 42329196. Its totient is φ = 3256320.

The previous prime is 12222713. The next prime is 12222731. The reversal of 12222720 is 2722221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 5992704 = 2496^2 + 2448^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12222693 and 12222702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10990 + ... + 12050.

It is an arithmetic number, because the mean of its divisors is an integer number (391937).

Almost surely, 212222720 is an apocalyptic number.

12222720 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 12222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21164598).

12222720 is an abundant number, since it is smaller than the sum of its proper divisors (30106476).

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

12222720 is a wasteful number, since it uses less digits than its factorization.

12222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12222720 is about 3496.1006850490. The cubic root of 12222720 is about 230.3505680989.

Adding to 12222720 its reverse (2722221), we get a palindrome (14944941).

The spelling of 12222720 in words is "twelve million, two hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1061 1152 1280 1440 1920 2122 2304 2880 3183 3840 4244 5305 5760 6366 8488 9549 10610 11520 12732 15915 16976 19098 21220 25464 31830 33952 38196 42440 47745 50928 63660 67904 76392 84880 95490 101856 127320 135808 152784 169760 190980 203712 254640 271616 305568 339520 381960 407424 509280 611136 679040 763920 814848 1018560 1222272 1358080 1527840 2037120 2444544 3055680 4074240 6111360 12222720