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12022013440 = 29541472437
BaseRepresentation
bin10110011001001000…
…10101111000000000
31011000211112120010001
423030210111320000
5144110113412230
65304533245344
7603626266603
oct131444257000
934024476101
1012022013440
11510a1276a8
1223b6193854
1311978a1528
1482090c33a
154a566d0ca
hex2cc915e00

12022013440 has 160 divisors (see below), whose sum is σ = 30168319104. Its totient is φ = 4589813760.

The previous prime is 12022013429. The next prime is 12022013441. The reversal of 12022013440 is 4431022021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4931902 + ... + 4934338.

Almost surely, 212022013440 is an apocalyptic number.

12022013440 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 12022013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084159552).

12022013440 is an abundant number, since it is smaller than the sum of its proper divisors (18146305664).

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

12022013440 is an equidigital number, since it uses as much as digits as its factorization.

12022013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12022013440 its reverse (4431022021), we get a palindrome (16453035461).

The spelling of 12022013440 in words is "twelve billion, twenty-two million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 47 64 80 82 94 128 160 164 188 205 235 256 320 328 376 410 470 512 640 656 752 820 940 1280 1312 1504 1640 1880 1927 2437 2560 2624 3008 3280 3760 3854 4874 5248 6016 6560 7520 7708 9635 9748 10496 12032 12185 13120 15040 15416 19270 19496 20992 24064 24370 26240 30080 30832 38540 38992 48740 52480 60160 61664 77080 77984 97480 99917 104960 114539 120320 123328 154160 155968 194960 199834 229078 246656 308320 311936 389920 399668 458156 493312 499585 572695 616640 623872 779840 799336 916312 986624 999170 1145390 1233280 1247744 1559680 1598672 1832624 1998340 2290780 2466560 3119360 3197344 3665248 3996680 4581560 4696099 4933120 6238720 6394688 7330496 7993360 9163120 9392198 12789376 14660992 15986720 18326240 18784396 23480495 25578752 29321984 31973440 36652480 37568792 46960990 51157504 58643968 63946880 73304960 75137584 93921980 127893760 146609920 150275168 187843960 255787520 293219840 300550336 375687920 601100672 751375840 1202201344 1502751680 2404402688 3005503360 6011006720 12022013440