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12221221120 = 285172324419
BaseRepresentation
bin10110110000111000…
…10000100100000000
31011112201101100200021
423120130100210000
5200012113033440
65340411103224
7611565444163
oct133034204400
934481340607
1012221221120
115201619349
122450a41b14
1311c9c3bcb4
1483d165ada
154b7dbc84a
hex2d8710900

12221221120 has 144 divisors (see below), whose sum is σ = 32344583040. Its totient is φ = 4400709632.

The previous prime is 12221221091. The next prime is 12221221121. The reversal of 12221221120 is 2112212221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12221221094 and 12221221103.

It is not an unprimeable number, because it can be changed into a prime (12221221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488271 + ... + 512689.

It is an arithmetic number, because the mean of its divisors is an integer number (224615160).

Almost surely, 212221221120 is an apocalyptic number.

12221221120 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 12221221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172291520).

12221221120 is an abundant number, since it is smaller than the sum of its proper divisors (20123361920).

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

12221221120 is a wasteful number, since it uses less digits than its factorization.

12221221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24480 (or 24466 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221221120 its reverse (2112212221), we get a palindrome (14333433341).

The spelling of 12221221120 in words is "twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 128 136 160 170 184 230 256 272 320 340 368 391 460 544 640 680 736 782 920 1088 1280 1360 1472 1564 1840 1955 2176 2720 2944 3128 3680 3910 4352 5440 5888 6256 7360 7820 10880 12512 14720 15640 21760 24419 25024 29440 31280 48838 50048 62560 97676 100096 122095 125120 195352 244190 250240 390704 415123 488380 500480 561637 781408 830246 976760 1123274 1562816 1660492 1953520 2075615 2246548 2808185 3125632 3320984 3907040 4151230 4493096 5616370 6251264 6641968 7814080 8302460 8986192 9547829 11232740 13283936 15628160 16604920 17972384 19095658 22465480 26567872 31256320 33209840 35944768 38191316 44930960 47739145 53135744 66419680 71889536 76382632 89861920 95478290 106271488 132839360 143779072 152765264 179723840 190956580 265678720 305530528 359447680 381913160 531357440 611061056 718895360 763826320 1222122112 1527652640 2444244224 3055305280 6110610560 12221221120