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12244030320 = 2435315331051
BaseRepresentation
bin10110110011100110…
…10001001101110000
31011121022022012000110
423121303101031300
5200033432432240
65342544021320
7612263353254
oct133163211560
934538265013
1012244030320
115213488225
122458601840
131201896c72
148421c2264
154b9dc5c80
hex2d9cd1370

12244030320 has 160 divisors (see below), whose sum is σ = 39921444864. Its totient is φ = 3100032000.

The previous prime is 12244030319. The next prime is 12244030321. The reversal of 12244030320 is 2303044221.

12244030320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12244030319) and next prime (12244030321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244030321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378795 + ... + 409845.

Almost surely, 212244030320 is an apocalyptic number.

12244030320 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 12244030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19960722432).

12244030320 is an abundant number, since it is smaller than the sum of its proper divisors (27677414544).

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

12244030320 is a wasteful number, since it uses less digits than its factorization.

12244030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31151 (or 31145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12244030320 its reverse (2303044221), we get a palindrome (14547074541).

The spelling of 12244030320 in words is "twelve billion, two hundred forty-four million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 53 60 62 80 93 106 120 124 155 159 186 212 240 248 265 310 318 372 424 465 496 530 620 636 744 795 848 930 1060 1240 1272 1488 1590 1643 1860 2120 2480 2544 3180 3286 3720 4240 4929 6360 6572 7440 8215 9858 12720 13144 16430 19716 24645 26288 31051 32860 39432 49290 62102 65720 78864 93153 98580 124204 131440 155255 186306 197160 248408 310510 372612 394320 465765 496816 621020 745224 931530 962581 1242040 1490448 1645703 1863060 1925162 2484080 2887743 3291406 3726120 3850324 4812905 4937109 5775486 6582812 7452240 7700648 8228515 9625810 9874218 11550972 13165624 14438715 15401296 16457030 19251620 19748436 23101944 24685545 26331248 28877430 32914060 38503240 39496872 46203888 49371090 51016793 57754860 65828120 77006480 78993744 98742180 102033586 115509720 131656240 153050379 197484360 204067172 231019440 255083965 306100758 394968720 408134344 510167930 612201516 765251895 816268688 1020335860 1224403032 1530503790 2040671720 2448806064 3061007580 4081343440 6122015160 12244030320